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Research Article Open access CC BY 4.0

Common Caristi-type Fixed Point Theorem for Two Single Valued Mappings in Cone Metric Spaces

Lazaiz Samih, Aamri Mohamed, Saffaj Hamza, Zakary Omar

Asian Research Journal of Mathematics · pp. 1–11 · Published 29 Jan 2017

10.9734/ARJOM/2017/31092

Abstract

In this paper, we obtain a common Caristi-type fixed point theorem for two single valued mappings in the setting of cone metric spaces. Further, we derive some consequences and a coupled fixed point theorem for two mappings without the need of the monotonicity assumption. Our work is supported by different examples.

Caristi Fixed point Common fixed point Coupled fixed point Cone metric space.

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