Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings

被引：2

作者：

Dominguez Benavides, T. ^{[1
]}

Lorenzo Ramirez, P. ^{[1
]}

机构：

[1] Univ Seville, Dept Anal Matemat, POB 1160, Seville 41080, Spain

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 03期

关键词：

Fixed point; multivalued nonexpansive mapping; modular vector space;

D O I：

10.1007/s11784-021-00876-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this property, we state several new fixed point theorems for multivalued nonexpansive mappings in modular spaces.

引用

页数：25

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