Completed /Ongoing Projects


CSIR Govt. of India (CSIR Sanction Reference- 25(0215)/13/EMR-II) Completed:

Title: Study on fixed point theorems for single valued and multi valued mappings and their applications to best approximation.

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Project Outcome

Because of the diverse applications of fixed point theory, this theory has widely been applied in many other branches of science and engineering. Our present study in this project emphasize the theoretical and computational aspects of existence of fixed/coincidence points and iterative approximation of single valued and multi valued operators which are the main tools to solve various problems concerning operator equations and inclusions. The study includes end points of multifunctions describes the role of endpoints in Topology and broadening the scope of fixed point, approximation results and iterative methods.


List of publications

  1. D. Gopal, M. Abbas, C. Vetro, “Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation ” Applied Mathematics and Computation, 232, 955-967, 2014 (Impact Factor- 1.34).

  2. D. Gopal, D. K. Patel, “An alternative approach to to ‘‘fixed point theorems for occasionally weakly compatible mappings” J. Egyptian Math. Soc. (In Press, 2014 (Elsevier).

  3. T. Dosenovic, P. Kumam, D. Gopal, D.K. Patel, A. Takaci “On fixed point theorems involving altering distances in Menger probabilistic metric spaces” Journal of Inequalities and Applications 2013, 2013:576, 10 pages. (Impact Factor- 0.82)

  4. D. K. Patel, P. Kumam, D. Gopal, “Some discussion on the existence of common fixed points for a pair of maps” Fixed Point Theory and Applications 2013, 2013:187, 17 pages. (Impact Factor- 1.87)

  5. D.K. Patel, T. Abdeljawad, D. Gopal “Common fixed points of generalized Meir-Keeler α-contractions” Fixed Point Theory and Applications 2013, 2013:260, 16 pages. (Impact Factor- 1.87)

  6. H. Alikhani, D. Gopal, MA Miandaragh, S Rezapour, N Shahzad “Some endpoint results for β-generalized weak contractive multifunctions” The Scientific World Journal 2013, Article ID 948472, 7 pages. (Impact Factor- 1.74)

  7. P. Kumam, F. Rouzkard, M. Imdad, D. Gopal “Fixed point theorems on ordered metric Spaces through a rational contraction” Abstract and Applied Analysis 2013, Article ID 206515, 9 pages. (Impact Factor- 1.32)

8. D. Gopal, F. Rouzkard, M. Imdad “Some existence and uniqueness theorems on ordered metric spaces via generalized distances” Fixed Point Theory and Applications 2013, 2013:45, 20 pages. (Impact Factor- 1.87)

9. M. Abbas, D. Gopal and Stojan Radenovi'c “A note on recently introduced commutative conditions” Indian Journal of Mathematics 55, 2 (2013), 195-202.