Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces


Abstract views: 13 / PDF downloads: 5

Authors

  • Shengquan Wenga
  • Dingping Wua

Keywords:

CAT(0) space, proximal point algorithm, fixed point, resolvent identity, functional analysis.

Abstract

In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, and the set of fixed points of a multivalued nonexpansive mapping, and the set of minimizers of convex and lower semicontinuous functions. We obtain convergence of the proposed algorithm to a common element of three sets in CAT(0) spaces.

Downloads

Published

2022-11-07

How to Cite

Shengquan Wenga, & Dingping Wua. (2022). Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces. Results in Nonlinear Analysis, 1(2), 49–57. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/10

Issue

Vol. 1 No. 2 (2018): volume 1 issue 2

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.