The Fixed Point Property of Mean Non-expansive Mapping

The Fixed Point Property of Mean Non-expansive Mapping

In this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it discussed the weakly compact convex subset of r...

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Bibliographic Details
Main Authors: CUI Yun-an, WANG Jing-chen
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2018-08-01
Series:Journal of Harbin University of Science and Technology
Subjects:
mean non-expansive mapping
fixed point
asymptotic norml structure
garcia-falset constant
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1569
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Summary:In this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it discussed the weakly compact convex subset of reflexive Banach space X which has asymptotic normal structure that has a fixed point for mean non-expansive mapping Finally，it proved that when the Garcia-Falset constant satisfied specific inequality，the mean non-expansive mapping T has a fixed point.
ISSN:1007-2683

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