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A common fixed point theorem for a commuting family of nonexpansive mappings one of which is multivalued

✍ Scribed by Narawadee Nanan; Sompong Dhompongsa


Book ID
115021601
Publisher
Springer International Publishing AG
Year
2011
Tongue
English
Weight
194 KB
Volume
2011
Category
Article
ISSN
1687-1820

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Let K be a nonempty closed convex subset of a real reflexive Banach space E that has weakly continuous duality mapping J Ο• for some gauge Ο•. Let T i : K β†’ K , i = 1, 2, . . . , be a family of quasi-nonexpansive mappings with F := ∩ iβ‰₯1 F(T i ) = βˆ… which is a sunny nonexpansive retract of K with Q a