On a proximal point algorithm for solving common fixed point problems and convex minimization problems in Geodesic spaces with positive curvature

被引：3

作者：

Khunpanuk, Chainarong ^{[1
]}

Garodia, Chanchal ^{[2
]}

Uddin, Izhar ^{[2
]}

Pakkaranang, Nuttapol ^{[1
]}

机构：

[1] Phetchabun Rajabhat Univ, Fac Sci & Technol, Math & Comp Sci Program, Phetchabun 67000, Thailand

[2] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

minimization problem; resolvent operator; CAT(1) space; proximal point algorithm; nonexpansive mapping; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; RIEMANNIAN-MANIFOLDS; CONVERGENCE; ITERATION;

D O I：

10.3934/math.2022529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a new modified proximal point algorithm in the framework of CAT(1) spaces which is utilized for solving common fixed point problem and minimization problems. Also, we prove convergence results of the obtained process under some mild conditions. Our results extend and improve several corresponding results of the existing literature.

引用

页码：9509 / 9523

页数：15

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