A selection theorem for quasi-lower semicontinuous mappings in hyperconvex spaces
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Publication:2496702
DOI10.1016/j.jmaa.2005.08.042zbMath1101.54025OpenAlexW2001927054MaRDI QIDQ2496702
Publication date: 20 July 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.08.042
fixed pointcontinuous selectionhyperconvex metric spacequasi-lower semicontinuous multivalued mapping
Set-valued functions (26E25) Axiomatic and generalized convexity (52A01) Selections in general topology (54C65)
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Fixed points, selections and best approximation for multivalued mappings in \(R\)-trees ⋮ Common best proximity pairs in strictly convex Banach spaces ⋮ Remarks on approximate fixed points ⋮ Some results for the family 2-gKKM\((X,Y)\) and the \(\Phi\)-mapping in hyperconvex metric spaces ⋮ Best approximation, coincidence and fixed point theorems for quasi-lower semicontinuous set-valued maps in hyperconvex metric spaces ⋮ Best proximity pairs theorems for continuous set-valued maps ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces
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