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- W1999957609 abstract "In this paper we prove the following Krasnosel’skii type fixed point theorem: Let M be a nonempty bounded closed convex subset of a Banach space X. Suppose that A:M→X and B:X→X are two weakly sequentially continuous mappings satisfying: AM is relatively weakly compact; B is a strict contraction; (x=Bx+Ay,y∈M)⇒x∈M. This result is then used to obtain some new fixed point theorems for the sum of a weakly compact and a nonexpansive mapping. The results presented in this paper encompass several earlier ones in the literature." @default.
- W1999957609 created "2016-06-24" @default.
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- W1999957609 date "2010-01-01" @default.
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- W1999957609 title "Krasnosel’skii type fixed point theorems under weak topology features" @default.
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- W1999957609 doi "https://doi.org/10.1016/j.na.2009.06.086" @default.
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