On Some Generalization of Multivalued Nonexpansive Mappings

被引：0
作者：
Hamid Reza Hajisharifi
机构：
[1] University of Khansar,Department of Mathematics
[2] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
来源：
Bulletin of the Iranian Mathematical Society | 2020年 / 46卷
关键词：
Fixed point; Multivalued nonexpansive mapping; Multivalued ; -nonexpansive mapping; Multivalued (; )-type mapping; 47H04; 47H10; 54H25;
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学科分类号：
摘要：
In this article, we introduce the concepts of multivalued (DL)-type and multivalued α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-nonexpansive mappings in the Banach spaces. We show that these two classes of mappings properly contain some important classes of nonlinear mappings. Moreover, we compare the relationship between such classes of mappings and obtain some fixed point results. In addition, we give partial answer to the open question posed by Reich in 1983, about the relationship between fixed point property of multivalued and single-valued nonexpansive mappings. This contribution generalizes and improves some recent results in this context.
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页码：557 / 571
页数：14
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