On generalized pointwise noncyclic contractions without proximal normal structure

DOI10.1215/20088752-2017-0049OpenAlexW2775643660MaRDI QIDQ1751984

Moosa Gabeleh

Publication date: 25 May 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1512637231

zbMATH Keywords

strictly convex Banach spacebest proximity pairgeneralized pointwise noncyclic contractioniterate sequence

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Convergence of Picard's iteration using projection algorithm for noncyclic contractions ⋮ A characterization of weak proximal normal structure and best proximity pairs

Cites Work

• Existence and convergence of best proximity points
• Semi-normal structure and best proximity pair results in convex metric spaces
• Fixed-point theorems for certain nonlinear nonexpansive mappings
• On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
• A new approach to relatively nonexpansive mappings
• Inequalities in Banach spaces with applications
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Proximal normal structure and relatively nonexpansive mappings
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