PERSONAL INFORMATION
Name : RENY GEORGE
Date of Birth (DD/MM/YY) : 02/07/1963 Age: 54 Years Sex : Male
Permanent Address : C21, Anandapuram Phase II, JunwaniKohka Road
Bhilai, Chhattisgarh State, India Pin Code : 490006
Mobile : 00919630912469, 918827813037, 00919893520065
Present Address : Department of Mathematics, College of Science
Prince Sattam bin Abdulaziz University
Al Kharj, Kingdom of Saudi Arabia
Mobile : 00966550426471
Email : renygeorge02@yahoo.com
Place of Birth : Dalli Rajhara Nationality: Indian
Marital Status: Married Number of Children: 02
ACADEMIC QUALIFICATION
Particulars 
Discipline/Subject/Specialisation 
Name of School/College/University 
Year of Passing 
Passing of Marks\Division\along with Percentage 
Inter/ 2 
English Hindi Physics Chemistry Mathematics 
B.S.P Higher Secondary School No.1, Dalli Rajhara (Board of Secondary Education, Bhopal) 
1980 
I Division, 64.3% 
Graduation 
B.Sc Pure Mathematics Applied Mathematics Physics 
St. Alloysius College Jabalpur/Rani Durgavati University, Jabalpur, India 
1983 
II Division, 56.1% 
Post Graduation 
M.Sc (Mathematics) Specialisation : Algebra, Analysis and Topology 
University Teaching Department, Rani Durgavati University, Jabalpur, India 
1985 
I Division, 77.75% 
Doctoral 
Ph D in Mathematics (Functional Analysis) 
Pt. Ravishankar Shukla University, Raipur, India 
1996 

Some of the major scientific contribution of Prof Reny George are listed as follows:
· Framed weaker form of noncommutative mappings such as compatible mappings of type (A1) and type (A2), coincidentally commuting mappings (later renamed as occasionally weak compatible mappings), coordinatewise compatible mappings and Horizontally weakly compatible mappings. These results were found viable, productive and applicable to solve problems of existence and uniqueness of solutions of certain nonlinear integral equations, functional equations arising in dynamic programming problems, best approximation problem, variational inequalities arising in two point obstacle problems in stochastic game theory etc.
· Introduced the new class of Dislocated Fuzzy Metric Space and successfully extended the Banach Contraction Principle and Jungck Contraction Principle to this space.
· Proved the existence of common fixed point for a Banach operator pair under certain generalized contractions to obtain some best approximation results and applied these results for the first time to the problem of existence of solutions of variational inequalities and the solution of functional equations arising from dynamic programming.
· In the year 2015 introduced the new class of Rectangular bMetric Space as a generalization of metric space, bmetric space and rectangular metric space and studied their topological properties. The Banach Contraction Principle and Kannan Contraction Principle were extended to this space. The class of Rectangular bMetric Space has now become an important tool in metric fixed point theory with many researchers successfully extending and generalizing many fixed point results in this space and finding applications of these results in integral equations, functional equations , variational inequalities etc.
· Solved new problems of existence of solution of a pair of simultaneous variational inequalities and also a pair of simultaneous complimentarity problems via fixed points.
· Introduced the new class of Generalised Cone bMetric Space as a generalization of metric space, bmetric space , cone bmetric space and rectangular metric space and studied their topological properties. The Banach Contraction Principle and Kannan Contraction Principle were extended to such spaces.
· Framed Presic contraction and JungckPresic contraction for the first time in a cone metric space and established the existence of common fixed points for such contraction mappings in cone metric space. Applied the result in the problem of finding a stationary distribution of a Markov Process associated with the random process in which one of the n states is realised in each period t = 1,2,… with the probability conditioned on the current realised state.
· Framed PresicHardy Rogers contraction and CiricPresic contraction for two mappings in a bmetric space and established the existence of common fixed points of such contraction pair of mappings in bmetric space. Applied this result in deriving some convergence result for a system of matrix equations and also provided numerical experiments to illustrate the convergence algorithms.
· Introduced the new class of Rectangular Cone b_Metric Space over a Banach Algebra which contains metric space, bmetric space, cone metric space, cone bmetric space and rectangular bmetric space as subclass. Proved Banach contraction principle and weak Kannan contraction principle in such a space and applied the results in analyzing certain conditions to ensure the existence of solution of a system of linear equations.
· Defined Proximal contractions of type I and type II in bmetric space and proved the existence of a best proximity point for such contraction mappings thereby ascertaining an optimal approximate solution to the equation Tx = x in a bmetric space.
· Introduced the new class of Partial Rectangular bmetric space and gave its topological properties. Defined WardowskiCiricPresic contraction mapping in a Partal Rectangular bmetric space and proved the existence of fixed point of such contraction mapping.
· Defined weak semi alpha admissibility, condition (G) and condition (G’) for a self mapping and used it for proving existence of unique fixed point of Perov type alphaquasi contraction map, alphaKannan contraction map and alphaChatterjee contraction map defined in the newly introduced dislocated cone metric space over Banach algebra.
Total experience: 32 Years:
Post Held 
Name and Address of Institution 
Period 
Nature of duties in brief 
Professor 
College of Science , Prince Sattam bin Abdulaziz University, AlKharj, Riyadh, Saudi Arabia 
20^{th} March 2016 – Till Date 
Teaching and Research. 
Principal(Dean) & Professor of Mathematics 
St. Thomas College, Pt. Ravishankar Shukla University Raipur, Ruabandha Sector, Bhilai Durg, Chhattisgarh State Ph: 07882275970 www.stthomascollege.net 
1^{st} July 2006 – 15^{th} March 2016 
1. College administration 2. Teaching Mathematics in Graduate and Post Graduate (B.Sc and M.Sc ) classes. 3. Research 
Associate Professor

College of Science , Prince Salman bin Abdulaziz University, AlKharj, Riyadh, Saudi Arabia 
6^{th} November 2010 – 9^{th} June 2013 (On Deputation) 
1. Teaching Mathematics in Graduate ( Engineering and Science) classes 2. Research 
Associate Professor

Eritrea Institute of Technology, Asmara, Eritrea, North East Africa 
5^{th} November 2003 to 4^{th} December 2005 (On Deputation) 
1. H.O.D of Department of Mathematics 2. Teaching Mathematics in PreGraduate and Graduate(Engineering and Science) classes. 3. Curriculum designing and study materials preparation for pregraduate and graduate classes. 4. Research 
Assistant Professor (Selection Grade) 
St. Thomas College Pt. Ravishankar Shukla University Raipur, Ruabandha Sector, Bhilai Durg, Chhattisgarh State Ph: 07882275970 www.stthomascollege.net 
1^{st} July 2003 to 30^{th} June 2006 (On leave from 3^{rd} November 2003 to 5^{th} December 2005) 
1. H.O.D of P.G Department of Mathematics and Computer Science. 2. Teaching Mathematics in Graduate and Post Graduate classes. 3. Research 
Lecturer (Senior Scale) 
St. Thomas College Pt. Ravishankar Shukla University Raipur, Ruabandha Sector, Bhilai Durg, Chhattisgarh State Ph: 07882275970 www.stthomascollege.net 
1^{st} July 1995 to 30^{th} June 2003 
1. H.O.D of P.G Department of Mathematics and Computer Science. 2. Teaching in Graduate and Post Graduate classes. 3. Research 
Lecturer 
St. Thomas College Pt. Ravishankar Shukla University Raipur, Ruabandha Sector, Bhilai Durg, Chhattisgarh State Ph: 07882275970 www.stthomascollege.net 
20^{th} August 1985 to 30^{th} June 1995 
1. Teaching in Graduate and Post Graduate classes. 2. Research 
Details of experience :
i) Teaching : 32 Years
For the past 32 years, I have been delivering lectures in various courses of Mathematics to the students of Graduate and Post Graduate Programs. The details of courses taught are as follows:
ii) Administrative :
College Level : 10 Years (As Principal/Dean)
Served as Principal (Dean) of St. Thomas college Bhilai in India. The college is a multidisciplinary institution with Arts, Science and Commerce faculties offering both Bachelor and Master degree programs, affiliated to Pt. Ravishankar Shukla University Raipur, India and has around 85 teaching staff and 22 non teaching staff on its roll. Apart from teaching and research the duties included coordination with university authorities with regard to academic affairs, monitoring of academic activities in the college, supervising the duties of employees and writing their annual confidential reports, conduct of university examinations in the college, communicating with the management regarding budgetary requirements and expenditures, monitoring the staff requirement and initiating the recruitment process whenever required, liasoning with Government departments for procurement of funds etc.
Department Level : 17 Years (As Head of Department)
Worked as Head of Department of Mathematics and Computer Science at St. Thomas College, India and Eritrea Institute of Technology Eritrea. The duties included teaching in Graduate and Post Graduate level programs, allocating courses to faculty members of the department, monitoring the work of faculty members of the department and recommending for their promotions as and when they become eligible, recommending the university for any modifications in course curriculum as and when required, recommending the Head of the Institution for introduction of new programs in the department as per demand etc. Eritrea Institute of Technology (EIT) is a deemed university and as Head of The Department at EIT, apart from duties mentioned above I chaired the committee for curriculum designing and study material preparation for pre graduate and graduate programs.
Accreditation Experience :
National Level : Worked as member of Peer Review Team of National Assessment and Accreditation Council (NAAC) of India. Visited four colleges as a team member for peer review of the institutional SSR for accreditation.
College Level : Member of Internal Quality Assurance Cell for four years at St. Thomas College, Bhilai, India. Chaired the college accreditation committee and Internal Quality Assurance Cell for seven years at St. Thomas College, Bhilai, India. Member of college level accreditation committee and department level accreditation committee at Salman bin Abdulaziz University, Kingdom of Saudi Arabia.
Foreign assignments/visits :
· Currently working as Professor of Mathematics at College of Science, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.
· Worked as Associate Professor and Head, in the Department of Mathematics, Eritrea Institute of Technology, Asmara, Eritrea, North East Africa from 5^{th} November 2003 to 5^{th} December 2005.
· Worked as Associate Professor of Mathematics at Salman Bin Abdulaziz University, Saudi Arabia from 5^{th} November 2010 to 9^{th} June 2013..
· A short visit to Dukes University U.S.A, to deliver a talk in the Joint Conference on Information Sciences from 21^{st} July to 26^{th} July 2005.
· A short visit to Sultan Quaboos University, Muscat, Sultanate of Oman, to deliver a talk in the International Conference in Analysis and Applications from 24^{th} January to 26^{th} January 2010.
· A short visit to City University New York, 15^{th} December 2013 .
SCIENTIFIC RESEARCH RELATED INFORMATION :
Field : Non Linear Analysis
Specialization : Fixed Point Theory and Applications, Generalized Metric Topologies, Fuzzy sets and Theory.
c) Research Publications in International Peer Reviewed Journals.
S. No 
Title 
Cooperated Author (s) 
Journal ( Volume, Issue, Date ) 
1 
Approximation of common fixed point of alphageneralised contraction mappings in dislocated cone bmetric space over Banach Algebra and its applications 
Reny George, S. Radenovic , Hossam A Nabwey , R. Rajagopalan and S. Vinayakam 
Submitted in ISI Journal. 
2 
On Reich contraction principle in rectangular bmetric space 
Reny George and Zoran D. Mitrović 
Submitted in ISI Journal. 
3 
Dislocated Cone Metric Space over Banach Algebra and alphaQuasi Contraction Mappings of Perov Type 
Reny George, R. Rajagopalan, Hossam A Nabwey and S. Radenovic 
Fixed Point Theory and Applications, Springer Open, 2017:24, DOI 10.1186/s1366301706197 
4 
On Reich contraction principle in rectangular cone bmetric space over Banach algebra 
Reny George and Zoran D. Mitrović 
Journal of Advanced Mathematical Studies, 11(1), 2018, 1016. 
5 
Rectangular cone bmetric space over Banach algebra and contraction principles. 
Reny George, Hossam A Nabwey, R. Rajagopalan, S. Radenovic and K.P Reshma 
Fixed Point Theory and Applications, Springer Open, 2017:14 , DOI 10.1186/s136630170608x 
6 
Cyclic contractions and fixed points via Cclass functions in bmetric space and its application 
Reny George, M.S Khan, A.H Ansari and S. Vinayakam 
Accepted in Applied Mathematical Sciences (Hikari), Bulgaria. 
7 
Fixed Points of Wardowski CiricPresic Type Contractive Mappings in a Partial Rectangular bMetric Space 
Vahid Parvaney, Farhan Golkarmanesh and Reny George 
Journal of Mathematical Analysis, 8(1), 2017, 183201. 
8 
Rectangular bmetric spaces and contraction principles 
Reny George, S.Radenovic, K.P Reshma and S.Shukla 
Journal of Non linear Science and Applications, 8(2015), 10051013. 
9

Some generalized fixed point results in bmetric spaces and application to matrix equations 
H.K Pathak, Reny George, Hossam A Nabwey, Mahdy S ElPaoumy and K.P Reshma 
Fixed Point Theory and Applications, Springer Open, 2015, DOI:10.1186/s1366301503430 
11

Generalised cone bmetric spaces and contraction principles 
Reny George, Hossam E Nabwey, R.Rajagopalan and K.P Reshma 
Matematicki Vesnik, Vol. 67, No. 4, pp. 246257 (2015). 
11 
Fixed point theorems for cyclic contractions in bmetric spaces 
Reny George, K.P Reshma and Padmavathi 
Journal of Nonlinear Functional Analysis, SCIK Publishing Corporation, U.K , 2015:5 
12 
On best proximity points in bmetric space 
Reny George, Cihangir Alaca and K.P Reshma 
Journal of Nonlinear Analysis and Applications, 2015(1), 4556. Doi : 10.5899/2015/jnaaq00278. 
13

Horizontally weak compatibility of mappings and fixed points in a dislocated fuzzy metric space 
Reny George, Hossam E Nabwey, K.P Reshma and R.Rajagopalan 
Applied Mathematical Sciences, Hikari Ltd, (Ruse), Bulgaria, 2014, 8(113), 56415652 
14 
Common fixed point theorems for single and set valued horizontally weakly compatible pairs of mappings in dislocated fuzzy metric spaces 
R.Rajagopalan , Reny George, M.S Khan and K.P Reshma 
International Journal of Mathematical Analysis, Hikari Ltd, (Ruse), Bulgaria, 2014, 8(14), 683697. 
15 
Some fixed point results of Presic type in bmetric spaces 
Reny George 
Mathematical Sciences International Research Journal, India, 2(2), 2013 
16 
Some generalized results of fixed points in cone bmetric spaces 
Reny George and Brian Fisher 
Mathematica Moravica, Serbia,17(2), 2013 
17 
Common fixed point results for $\psi$  $\phi$ contractions in Rectangular Metric Spaces 
Reny George and R. Rajagopalan 
Bulletin of Mathematical Analysis and Applications, Kosova, 5(1), 2013. 
18 
Presic type hybrid contractions and fixed points in cone metric spaces 
Reny George 
Advances in Fixed Point Theory, SCIK Publishing Corporation, U.K, 3(1),2013. 
19 
Cyclic contractions and fixed points in Dislocated Metric Spaces 
Reny George, R. Rajagopalan and S. Vinayagam 
International Journal of Mathematical Analysis, Hikari Ltd, (Ruse), Bulgaria, Vol 7(9), 2013. 
20 
Dislocated fuzzy quasi metric spaces and fixed points 
Reny George and S.M Kang 
Annals of Fuzzy Mathematics and Informatics, Kyung Moon Sa, Korea. Vol 5, Issue 1, 2013. 
21 
Some fixed point results in dislocated fuzzy metric spaces 
Reny George 
Journal of Advanced Studies in Topology, Modern Science Publishers, Egypt, Vol 3, Issue 4), 2012. 
22

On dislocated fuzzy topologies and fixed points 
Reny George and R.A Rashwan 
Journal of Mathematics Research, CCSE, Canada, Vol 4(1), 2012 
23 
A generalized fixed point theorem of Presic type in cone metric space and application to Markov process 
Reny George, K.P Reshma and R. Rajagopalan 
Fixed Point Theory and Applications , Springer Open, 2011, 2011:85 
24 
Presic type extension and generalization of Banach Contraction Principle 
Reny George and M.S Khan 
International Journal of Mathematical Analysis, Hikari Ltd, Ruse 5(21),2011, 101924. 
25 
Variational inequalities and their solutions via fixed points 
Reny George, M.S Khan and K.P Reshma 
Advances in Nonlinear Variational Inequalities, International Publishers, USA, Vol 12, Issue 1, 2009. 
26 
On commutativity and its generalizations in hybrid fixed point theory 
Reny George, M.S Khan and H.K Pathak 
Non linear Functional Analysis and Applications, Kyungnam University Press, Korea, Vol 13, Issue 1, 2008 
27 
Compatible mappings of type(A1) and type (A2) and common fixed points in Fuzzy metric spaces 
M.S Khan, H.K Pathak and Reny George 
International Mathematical Forum, Hikari Ltd, Ruse, Vol 2, Issue 11, 2007. 
28 
Fixed point theorems for hybrid mappings in metric spaces 
Reny George, M.S Khan and Abraham Varghese 
Mathematica Moravica, University of Kragujevac, Vol. 10, 2006. 
29 
Dislocated fuzzy metric spaces and associated topologies. 
Reny George and M.S Khan 
Proceedings of Joint Conference on Information Sciences, Track 10^{th} International Conference on Fuzzy Theory and Technology, Salt Lake City, USA, 21^{st} July to 26^{th} July 2005. 
30

Coincidence and common fixed points of non self hybrid mappings in metrically convex spaces 
H.K Pathak, Reny George and M.S Khan 
Non linear Functional Analysis and Aplications, Kyungnam University Press, Korea, Vol 10, Issue 2, 2005 
31 
Simultaneous Complimentarity problems and their solutions via fixed points. 
H.K Pathak, Reny George, S.M Kang and Y.J Cho 
Pure Mathematics and Applications, Hungary, Vol 7, Issue 12, 1995 
32 
A common fixed point theorem of Gregus type for compatible mappings and its applications. 
H.K Pathak and Reny George 
Publications Mathematicae, Hungary, Vol 44, Issue 34, 1994 
Research Papers in International Seminars and Conferences :
S.No 
Seminars/Conference 
Duration 
Description 
1 
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLICATIONS – 2010, SULTAN QUABOOS UNIVERSITY, MUSCAT, SULTANATE OF OMAN 
24^{TH} JANUARY TO 26^{TH} JANUARY 2010 
Delivered a Talk titled “Presic type extension and generalization of Banach contraction principle” 
2 
JOINT CONFERENCE ON INFORMATION SCIENCES, TRACK  10^{TH} INTERNATIONAL CONFERENCE ON FUZZY THEORY AND TECHNOLOGY, SALT LAKE CITY, U.S.A 
21^{ST} JULY TO 26^{TH} JULY 2005 
Delivered a Talk titled “Dislocated fuzzy metric spaces and associated topologies” 
3 
ANNUAL CONFERENCE OF BANARAS MATHEMATICAL SOCIETY HELD AT BANARAS HINDU UNIVERSITY, BANARAS, U.P INDIA 
1993 
Presented a paper 
4 
ANNUAL CONFERENCE OF INDIAN MATHEMATICAL SOCIETY HELD AT D.V POST GRADUATE COLLEGE , ORAI ,U.P INDIA 
1996 
Presented a paper 
5 
NATIONAL CONFERENCE ON “ RECENT TRENDS IN ANALYSIS WITH EMPHASIS ON HISTORY OF MATHEMATICS” HELD AT PT. RAVISHANKAR SHUKLA UNIVERSITY RAIPUR. INDIA 
2003 
Presented a paper 
d) Supervision of Research:
Research Title 
Institution 
Completed/Ongoing 
Master/Ph.D. 
Studies on certain aspects of fixed point theorems in different topological spaces and their applications 
Pt. Ravishankar Shukla University, Raipur, India 
Completed 2016 
Ph D 
Studies on fixed point theorems of certain class of single valued as well as multi valued mappings in different topological spaces and their applications 
Singhania University, Jhunjunu, Rajasthan, India 
Completed 2014 
Ph D 
e) Reviewer for Research Journals: Reviewing research articles for the following mathematical journals :
f) Research Collaborations : Collaborated with many researchers from different part of the world. Some of them are as follows:
g) Research Projects
Title 
Funding Agency 
Status 
Applications of Fixed Point Theorems 
University Grants Commission, India Grant No. 4126(8)/98(MRP/CRO) 
Completed 
Fixed Point Theorems in Cone and Fuzzy Metric Spaces and their Applications 
Deanship of Scientific Research, Prince Salman bin Abdulaziz University, AlKharj, Kingdom of Saudi Arabia. Grant No. 1433/T/36. 
Completed 
A comprehensive study of certain fixed point results and their applications with special emphasis on variational inequalities and matrix equations 
Deanship of Scientific Research, Prince Salman bin Abdulaziz University, AlKharj, Kingdom of Saudi Arabia. Grant No. 2014/01/2046. 
Completed 
Studies on Generalised Metric Fixed Point Theory and Applications. 
Deanship of Scientific Research, Prince Sattam bin Abdulaziz University, AlKharj, Kingdom of Saudi Arabia. Grant No. 2016/01/671 
Ongoing 
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