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- W4239604424 abstract "Let X be a reflexive Banach space which has strictly convex norm and suppose K is a nonempty, bounded, closed and convex subset of X. Suppose $T:K to K$ has the property that, for some positive integer $N,{T^N}$ is nonexpansive ($left | {{T^N}x - {T^N}y} right | leqq left | {x - y} right |$ for all $x,y in K$). A function $gamma (N)$ is determined, $gamma (N) > 1$, such that if $left | {{T^j}x - {T^j}y} right | leqq kleft | {x - y} right |$ for all $x,y in K,1 leqq j leqq N - 1$, where $k < gamma (N)$, then T has a fixed point in K." @default.
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- W4239604424 date "1971-07-01" @default.
- W4239604424 modified "2023-09-26" @default.
- W4239604424 title "A Fixed Point Theorem for Mappings with a Nonexpansive Iterate" @default.
- W4239604424 doi "https://doi.org/10.2307/2038130" @default.
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