Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

被引：0

作者：

Shukla, Rahul ^{[1
]}

Panicker, Rekha ^{[1
]}

机构：

[1] Walter Sisulu Univ, Dept Math Sci & Comp, ZA-5117 Mthatha, South Africa

来源：

OPEN MATHEMATICS | 2022年 / 20卷 / 01期

关键词：

hyperbolic metric space; nonexpansive mapping; minimization problem; NONLINEAR OPERATORS; CONVERGENCE; EQUILIBRIUM;

D O I：

10.1515/math-2022-0497

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims. We study the asymptotic behavior of Picard iterates generated by these class of mappings under different conditions. Finally, we approximate the solutions of the constrained minimization problem in the setting of Cartan, Alexandrov, and Toponogov (CAT(0)) spaces.

引用

页码：1246 / 1260

页数：15

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