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- W1967990258 abstract "A well known result due to Krasnoselskii ensures the existence of a fixed point for an operator K=A+B which is defined on a non-empty bounded closed convex subset S of a Banach space X, where (i) A is a contraction, (ii) B is a compact operator, and (iii) A(S)+B(S)⊂S. In the present note, an easy sufficient condition for fulfilling (iii) in the case of a locally convex space is given. An application to the existence of solutions of a nonlinear integral equation illustrates this result." @default.
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- W1967990258 date "2009-08-01" @default.
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- W1967990258 title "Remark on Krasnoselskii’s fixed point theorem" @default.
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- W1967990258 doi "https://doi.org/10.1016/j.na.2008.10.115" @default.
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