Best approximation, coincidence and fixed point theorems for set-valued maps in \(\mathbb R\)-trees

DOI10.1016/j.na.2009.01.001zbMath1179.54050OpenAlexW2051946827MaRDI QIDQ1030055

A. P. Farajzadeh, Alireza Amini-Harandi

Publication date: 1 July 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.2009.01.001

zbMATH Keywords

fixed pointbest approximationcoincidence pointweakly inward map\(\mathbb R\)-treealmost lower semicontinuous map

Mathematics Subject Classification ID

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

Related Items (5)

Proximal point algorithms for a hybrid pair of nonexpansive single-valued and multi-valued mappings in geodesic metric spaces ⋮ Best and coupled best approximation theorems in abstract convex metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Random coincidence theorems and applications ⋮ Browder's convergence theorem for multivalued mappings without endpoint condition

Cites Work

• Unnamed Item
• On scalar equilibrium problem in generalized convex spaces
• Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• Fixed points, selections and best approximation for multivalued mappings in \(R\)-trees
• Best Approximation in ℝ-Trees
• A selection theorem in metric trees

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