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Best approximation, coincidence and fixed point theorems for set-valued maps in -trees

โœ Scribed by A. Amini-Harandi; A.P. Farajzadeh


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
343 KB
Volume
71
Category
Article
ISSN
0362-546X

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Coincidence and fixed point theorems for single-valued and multi-valued maps generalizing recent results of Suzuki and Kikkawa are obtained. Various applications, including the existence of common solutions of certain functional equations are presented.

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In an R-tree we consider multivalued mappings with convex values and develop fixed point, selection, and best approximation theorems for nonexpansive and almost lower semicontinuous mappings.