A fixed point theorem for the sum of two mappings

Hadžić, Olga

doi:10.1090/S0002-9939-1982-0647893-X

A fixed point theorem for the sum of two mappings
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Proc. Amer. Math. Soc. 85 (1982), 37-41 Request permission

Abstract:

A generalization of a fixed point theorem of Rzepecki is proved and it is shown that in a paranormed space $E$ this result yields, under certain circumstances, solutions to the equation $x = Tx + Sx$ for $T:E \to E$ either continuous and affine or a generalized contraction, and $S:K \subseteq E \to E$ compact.

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