Fixed points theorems for enriched non-expansive mappings in geodesic spaces

被引：2

作者：

Ali, Javid ^{[1
]}

Jubair, Mohd ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

CAT(0) space; Enriched non-expansive mapping; Delta-convergence; Strong convergence; Simplified Mann iteration; Fixed points; CONVERGENCE;

D O I：

10.2298/FIL2311403A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to extend a class of enriched non-expansive mappings from linear spaces to nonlinear spaces, namely, geodesic metric spaces of non-positive curvature. We prove that an enriched non-expansive mapping in complete CAT(0) space has fixed points. Moreover, we also propose simplified Mann iteration process to approximate fixed points of enriched non-expansive mappings by Delta and strong convergence in CAT(0) spaces.

引用

页码：3403 / 3409

页数：7

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