Best Approximation in ℝ-Trees

DOI10.1080/01630560701348517zbMath1132.54025OpenAlexW2053312559MaRDI QIDQ5297955

Bancha Panyanak, William A. Kirk

Publication date: 16 July 2007

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

Full work available at URL: https://doi.org/10.1080/01630560701348517

zbMATH Keywords

fixed pointsbest approximation\(\mathbb R\)-treesKKM-theorems

Mathematics Subject Classification ID

Trees (05C05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (10)

Common fixed points for multimaps in metric spaces ⋮ Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Remarks on approximate fixed points ⋮ Fixed points and best approximation in arcwise connected spaces ⋮ The fixed point property and unbounded sets in CAT(0) spaces ⋮ The KKM principle in abstract convex spaces: equivalent formulations and applications ⋮ Fixed point results for multimaps in CAT(0) spaces ⋮ Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces ⋮ Best approximation, coincidence and fixed point theorems for set-valued maps in \(\mathbb R\)-trees

Cites Work

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• KKM and Ky Fan theorems in hyperconvex metric spaces
• Kirszbraun's theorem and metric spaces of bounded curvature
• KKM mappings in metric spaces
• Extensions of two fixed point theorems of F. E. Browder
• The fixed point index for local condensing maps
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• The Introduction of Local Connectivity by Change of Topology

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