On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application
Samih Lazaiz, Mohamed Aamri, Omar Zakary
Asian Research Journal of Mathematics · pp. 1–13 · Published 18 Mar 2017
10.9734/ARJOM/2017/31645Abstract
The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Száz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated function in Caristi's fixed point theorem. As a consequence, we obtain some common fixed point results.
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