FIXED POINTS OF CONTINUOUS PSEUDOCONTRACTIVE MAPPINGS ON CONVEX, CLOSED UNBOUNDED DOMAINS

被引：1

作者：

Garcia-Falset, Jesus ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Fac Mat, Valencia 46100, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 07期

关键词：

Pseudocontractive mappings; accretive operators; nonexpansive map- pings; fixed points; M-ACCRETIVE OPERATORS; NONEXPANSIVE-MAPPINGS; EXISTENCE THEOREMS; STRONG-CONVERGENCE; EQUATIONS; PROPERTY; SETS;

D O I：

10.1090/proc/16756

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose in this article is to discuss under what conditions a continuous pseudocontractive mapping, in particular a nonexpansive map, has a fixed point when its domain is a closed, convex and unbounded subset of a Banach space. In fact, we will give a characterization of this property. The Halpern iterative algorithm for nonexpansive mappings is also investigated.

引用

页码：2863 / 2876

页数：14

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