Proximal maps, prox maps and coincidence points

DOI10.1080/01630569008816382zbMath0726.41035OpenAlexW2077008986MaRDI QIDQ3350119

Gerald A. Beer, Devidas Pai

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/01630569008816382

zbMATH Keywords

pseudometricsHausdorff locally convex linear topological space

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (13)

Best Proximity Points for Multivalued Mappings Satisfying $$Z_{\sigma }$$-Proximal Contractions with Applications ⋮ On best approximation in fuzzy metric spaces ⋮ Some extensions of fan's best approximation theorem ⋮ Unnamed Item ⋮ Topologies related to the prox map and the restricted center map ⋮ Some results on the best proximity pair ⋮ Best proximity pair theorems for multifunctions with open fibres ⋮ Best proximity points for proximal contractive type mappings with \(C\)-class functions in \(S\)-metric spaces ⋮ On general best proximity pairs and equilibrium pairs in free abstract economies ⋮ Approximate best proximity pairs in metric space ⋮ Best proximity pair theorem in metrizable topological vector spaces ⋮ Best Proximity Points ⋮ On a fixed point theorem of Ky Fan

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems for set-valued mappings
• Subcontinuity for multifunctions
• A characterization of smooth normed linear spaces
• Approximate selections, best approximations, fixed points, and invariant sets
• Extensions of two fixed point theorems of F. E. Browder
• Fixed-point theorems for set-valued mappings and existence of best approximants
• On Mosco convergence of convex sets

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