Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits

DOI10.1080/02331934.2020.1745797zbMath1475.90127OpenAlexW3013786232MaRDI QIDQ4999745

Moosa Gabeleh, Seithuti Philemon Moshokoa

Publication date: 2 July 2021

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1745797

zbMATH Keywords

proximitystrictly convex Banach spacenoncyclic contraction

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Programming in abstract spaces (90C48)

Related Items

Asymptotic Behaviour of ϕ-Nonexpansive Sequences and Mappings in Banach Spaces, Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces, Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure, Non-convex proximal pair and relatively nonexpansive maps with respect to orbits

Cites Work

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• Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
• Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
• On some fixed point theorems on uniformly convex Banach spaces
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Convergence of Picard's iteration using projection algorithm for noncyclic contractions
• A characterization of proximal normal structure via proximal diametral sequences
• Common best proximity pairs in strictly convex Banach spaces
• On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Proximal normal structure and relatively nonexpansive mappings