A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces

Authors

  • Chao Wang School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China.
  • Honglei Fan School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China.

DOI:

https://doi.org/10.4208/jms.v55n4.22.06

Keywords:

Common fixed point, a pair of generalized nonexpansive mappings, Krasnoselskii type iterative algorithm, uniformly convex metric spaces.

Abstract

In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.

Downloads

Published

2022-11-07

Abstract View

  • 288631

Pdf View

  • 2803

Issue

Vol. 55 No. 4 (2022)

Section

Articles

How to Cite

A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces. (2022). Journal of Mathematical Study, 55(4), 432-444. https://doi.org/10.4208/jms.v55n4.22.06