Generalized Acyclic Contractions, Acyclic Contractions, and Reverse Acyclic Contractions

DOI10.1080/01630563.2018.1488140zbMath1437.54041OpenAlexW2888377950MaRDI QIDQ4622790

Naseer Shahzad, S. Sadiq Basha

Publication date: 18 February 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1488140

zbMATH Keywords

fixed pointbest proximity pointcyclic contractionacyclic contractionreverse acyclic contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• On best proximity pair theorems for relatively \(u\)-continuous mappings
• Common best proximity points: Global optimal solutions
• Best proximity point theorems generalizing the contraction principle
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Existence and uniqueness of best proximity points in geodesic metric spaces
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence and existence results for best proximity points
• Generalized cyclic contractions in partially ordered metric spaces
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity points for cyclic Meir-Keeler contractions
• Best proximity point theorems: exposition of a significant nonlinear programming problem
• Commuting Mappings and Fixed Points
• Best proximity points for cyclic mappings in ordered metric spaces

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