Existence of group nonexpansive retractions and ergodic theorems in topological groups

Ravi Agarwal; Donal O’regan; Ebrahim Soori

doi:10.24193/fpt-ro.2021.2.30

Existence of group nonexpansive retractions and ergodic theorems in topological groups

Ravi Agarwal
, Donal O’regan
, Ebrahim Soori

Mathematics

Texas A&M University
Lorestan University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

Suppose that G is a topological group and C a compact subset of G. In this paper we define group nonexpansive mappings and then we consider S = {T_i: i ∈ I} as a family of the group nonexpansive mappings on C. Also we study the existence of group nonexpansive retractions P_i from C onto Fix(S) such that P_iT_i = T_iP_i = P_i .

Original language	English
Pages (from-to)	455-464
Number of pages	10
Journal	Fixed Point Theory
Volume	22
Issue number	2
DOIs	https://doi.org/10.24193/fpt-ro.2021.2.30
Publication status	Published - 1 Jul 2021

Keywords

And Phrases: Fixed point
Group nonexpansive mapping
Retrac-tion
Topological group

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10.24193/fpt-ro.2021.2.30

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abstract = "Suppose that G is a topological group and C a compact subset of G. In this paper we define group nonexpansive mappings and then we consider S = \{Ti: i ∈ I\} as a family of the group nonexpansive mappings on C. Also we study the existence of group nonexpansive retractions Pi from C onto Fix(S) such that PiTi = TiPi = Pi .",

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AB - Suppose that G is a topological group and C a compact subset of G. In this paper we define group nonexpansive mappings and then we consider S = {Ti: i ∈ I} as a family of the group nonexpansive mappings on C. Also we study the existence of group nonexpansive retractions Pi from C onto Fix(S) such that PiTi = TiPi = Pi .

KW - And Phrases: Fixed point

KW - Group nonexpansive mapping

KW - Retrac-tion

KW - Topological group

UR - https://www.scopus.com/pages/publications/85115736937

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JO - Fixed Point Theory

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Existence of group nonexpansive retractions and ergodic theorems in topological groups

Abstract

Keywords

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