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- W1965343298 abstract "Krasnoselskii's fixed-point theorem asks for a convex set M and a mapping Pz = Bz + Az such that: 1. (i) Bx + Ay ∈ M for each x , y ∈ M 2. (ii) A is continuous and compact 3. (iii) B is a contraction. Then P has a fixed point. A careful reading of the proof reveals that (i) need only ask that Bx + Ay ∈ M when x = Bx + Ay . The proof also yields a technique for showing that such x is in M ." @default.
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- W1965343298 date "1998-01-01" @default.
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- W1965343298 title "A fixed-point theorem of Krasnoselskii" @default.
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- W1965343298 doi "https://doi.org/10.1016/s0893-9659(97)00138-9" @default.
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