Best proximity point for the proximal nonexpansive mapping on the starshaped sets

DOI10.1186/s13663-015-0268-7zbMath1395.41005OpenAlexW2134335981WikidataQ59436049 ScholiaQ59436049MaRDI QIDQ2017684

Shiwen Deng, Jianren Chen, Song Xiao, Hui Wang

Publication date: 23 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0268-7

zbMATH Keywords

nonexpansive mapbest proximity pointstarshaped setproximal nonexpansive mapping

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets

Cites Work

• Unnamed Item
• Best proximity points of non-self mappings
• Proximal weakly contractive and proximal nonexpansive non-self-mappings in metric and Banach spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Best proximity point theorems
• Best proximity points: Optimal solutions
• Existence and convergence of best proximity points
• Convergence and existence results for best proximity points
• Approximate selections, best approximations, fixed points, and invariant sets
• Best proximity pair theorems for multifunctions with open fibres
• A note on some best proximity point theorems proved under \(P\)-property
• Existence and uniqueness of a solution for some nonlinear programming problems
• Best proximity point theorems via proximal non-self mappings
• Extensions of two fixed point theorems of F. E. Browder
• A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
• Fixed-point theorems for set-valued mappings and existence of best approximants
• A theorem on best approximations
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Some extensions of fan's best approximation theorem
• Proximinal Retracts and Best Proximity Pair Theorems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Proximal normal structure and relatively nonexpansive mappings
• Locally Uniformly Convex Banach Spaces

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