A common fixed point theorem and its applications in abstract convex spaces

A common fixed point theorem and its applications in abstract convex spaces

First, this paper introduces a family of generalized equi-KKM mappings and the concept of quasi-abstract convexity (concavity) defined by parameter multi-valued mappings in abstract convex spaces that satisfy the $ H_0 $-condition. Then, using the Brouwer fixed-point theorem, we prove a common fixed...

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Bibliographic Details
Main Authors: Shunyou Xia, Chongyi Zhong, Chunrong Mo
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
$ h_0 $-condition
abstract convex space
the family of generalized equi-kkm mappings
common fixed points
generalized abstract equilibrium problems
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025240
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https://www.aimspress.com/article/doi/10.3934/math.2025240

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