A best approximation theorem in hyperconvex metric spaces

DOI10.1016/j.na.2008.03.029zbMath1179.90251OpenAlexW2015632784MaRDI QIDQ1004650

A. P. Farajzadeh, Alireza Amini-Harandi

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.029

zbMATH Keywords

generalized KKM mapping

Mathematics Subject Classification ID

Quadratic programming (90C20) Programming in abstract spaces (90C48)

Related Items (7)

Best proximity points for proximal generalized contractions in metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ A coupled best approximations theorem in normed spaces ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ On best approximations in hyperconvex spaces ⋮ Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Generalized KKM theorem and variational inequalities
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• Fixed-point theorems for set-valued mappings and existence of best approximants
• Fixed point theorems in hyperconvex metric spaces

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