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- W2139218192 abstract "Abstract Bruck [Pac. J. Math. 53 , 59-71 1974 Theorem 1] proved that for a nonempty closed convex subset E of a Banach space X , if E is weakly compact or bounded and separable and suppose that E has both (FPP) and (CFPP), then for any commuting family S of nonexpansive self-mappings of E , the set F ( S ) of common fixed points of S is a nonempty nonexpansive retract of E . In this paper, we extend the above result when one of its elements in S is multivalued. The result extends previously known results (on common fixed points of a pair of single valued and multivalued commuting mappings) to infinite number of mappings and to a wider class of spaces. 2000 Mathematics Subject Classification : 47H09; 47H10" @default.
- W2139218192 created "2016-06-24" @default.
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- W2139218192 date "2011-09-17" @default.
- W2139218192 modified "2023-10-18" @default.
- W2139218192 title "A common fixed point theorem for a commuting family of nonexpansive mappings one of which is multivalued" @default.
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- W2139218192 doi "https://doi.org/10.1186/1687-1812-2011-54" @default.
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