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Fixed points, selections and common fixed points for nonexpansive-type mappings
Authors:Rafa Espínola  Pepa Lorenzo
Institution:a Departamento de Análisis Matemático, Universidad de Sevilla, P.O. Box 1160, 41080 Sevilla, Spain
b Department of Mathematics, Babe?-Bolyai University, Kog?lniceanu 1, 400084, Cluj-Napoca, Romania
Abstract:We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and Banach spaces for single and multivalued mappings satisfying conditions that generalize the concept of nonexpansivity. Besides, we use the fixed point theorems proved here to give common fixed point results for commuting mappings.
Keywords:Fixed point  Selection of multifunctions  Generalized nonexpansive mappings  Commuting mappings  Metric space  Banach space
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