Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces

DOI10.1016/j.na.2009.03.082zbMath1222.54040OpenAlexW2012774654MaRDI QIDQ732542

A. P. Farajzadeh, Alireza Amini-Harandi

Publication date: 9 October 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.2009.03.082

zbMATH Keywords

fixed pointbest approximationcoincidence pointhyperconvex metric spacequasi-lower semicontinuous mapweakly inward map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Best and coupled best approximation theorems in abstract convex metric spaces ⋮ Random coincidence theorems and applications ⋮ Asymptotically non-expansive self-maps and global stability with ultimate boundedness of dynamic systems ⋮ A coupled best approximations theorem in normed spaces ⋮ On best approximations in hyperconvex spaces

Cites Work

• Unnamed Item
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On scalar equilibrium problem in generalized convex spaces
• A best approximation theorem in hyperconvex metric spaces
• Approximate selection theorems in \(H\)-spaces with applications
• KKM and Ky Fan theorems in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• A selection theorem for quasi-lower semicontinuous mappings in hyperconvex spaces
• Hyperconvexity and approximate fixed points
• Fixed point theorems in hyperconvex metric spaces