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A remark on Rhoades fixed point theorem for non-self mappings

Ljubomir B. Ciric

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-4

Abstract:

Let X be a Banach space, K a non-empty closed subset of X and T : K → X a mapping satisfying the contractive definition (1.1) below and the condition T ( ∂ K ) ⫅ K . Then T has a unique fixed point in K . This result improves Theorem of Rhoades [1] and generalizes the corresponding theorem of Assad [2].

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:583924

DOI: 10.1155/S016117129300047X

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