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IMI/Publicaţii/BASM/Ediţii/BASM n.3(94), 2020/

Coincidence and common fixed points theorem with an application in dynamic programming

Authors: Ahmed Chaouki Aouine, Abdelkrim Aliouche

Abstract

We prove coincidence and common fixed points theorem for two self-mappings in complete metric spaces. Our theorem generalizes Theorem 1 of \cite{khoac}. Suitable examples are provided to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two functional equations arising in dynamic programming.

Ahmed Chaouki Aouine
Larbi Ben M’Hidi University Oum-El-Bouaghi, 04000,
Algeria, Mohamed-Cherif Messaadia University Souk
Ahras, 41000, Algeria
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Abdelkrim Aliouche
Laboratory of dynamical systems and control
Larbi Ben M’Hidi University
Oum-El-Bouaghi, 04000, Algeria
E-mail:

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