The Fixed Point Property of a Class of Generalized Nonexpansive Mappings

The Fixed Point Property of a Class of Generalized Nonexpansive Mappings

In this paper, the most famous result by Wkirk is that the nonexpansive mapping has the fixed point property in a Banach space with normal structure reflexive is extended to a more general form of mapping,namely:‖T(x)－T(y)‖≤a1(t)(d(x,y))‖x－y‖+a2(t)(d(x,y))‖x－T(x)‖+a3(t)(d(x,y))‖x－T(y)‖, where...

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Bibliographic Details
Main Authors: ZHANG Shao-yong, ZHU Peng
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2019-10-01
Series:Journal of Harbin University of Science and Technology
Subjects:
generalized non-expansive mapping
normal structure
reflexive
fixed point property
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1743
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