Some Fixed Point Theorems under E.A. and (CLR) Properties on C∗-Algebra Valued Metric Spaces

Authors

Manoj Kumar, Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, 131039, IndiaFollow
Mohammad Imdad, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaFollow
Mohammad Asim, Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaFollow

Abstract

In this paper, we prove some common fixed point theorems for four weakly compatible self maps satisfying E.A. property and (CLR) property in C∗-algebra valued metric spaces. An example is also adopted to substantiate the significance of our newly proved results. In addition, we use one of our main results to establish the existence and uniqueness of a solution for the system of integral equations.

Recommended Citation

Kumar, Manoj; Imdad, Mohammad; and Asim, Mohammad (2020) "Some Fixed Point Theorems under E.A. and (CLR) Properties on C∗-Algebra Valued Metric Spaces," Information Sciences Letters: Vol. 9 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol9/iss2/3