Remarks on Best Approximations in Generalized Convex Spaces

DOI10.1515/JAA.2006.181zbMath1129.47039OpenAlexW2078715497MaRDI QIDQ5296467

Zoran D. Mitrović

Publication date: 1 August 2007

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2006.181

zbMATH Keywords

convex setsbest approximationgeneralised convex space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Fixed points and coincidences in algebraic topology (55M20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Applications of some basic theorems in the KKM theory, On best approximations in hyperconvex spaces

Cites Work

• KKM and Ky Fan theorems in hyperconvex metric spaces
• Foundations of the KKM theory on generalized convex spaces
• Saddle point theorems on generalized convex spaces
• Continuous selection and fixed point theorems
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Fixed point theorems in hyperconvex metric spaces
• Continuous Selection Theorems in Generalized Convex Spaces
• Applications of a fixed point theorem in \(G\)-convex space