A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings

被引：6

作者：

Khatoon, Sabiya ^{[1
]}

Cholamjiak, Watcharaporn ^{[1
]}

Uddin, Izhar ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

CAT(0) space; Nearly asymptotically quasi-nonexpansive mappings; Delta-convergence; FIXED-POINTS; VARIATIONAL-INEQUALITIES; CONVERGENCE THEOREMS; MINIMIZATION; OPERATORS; SYSTEMS; SCHEME; SPACES; WEAK;

D O I：

10.1186/s13660-021-02618-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate the common element of the set of solutions of convex minimization problems and the fixed points of two nearly asymptotically quasi-nonexpansive mappings in the framework of CAT(0) spaces. We also prove the Delta-convergence of the proposed algorithm. We also provide an application and numerical result based on our proposed algorithm as well as the computational result by comparing our modified iteration with previously known Sahu's modified iteration.

引用

页数：20

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