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

Ahmed Chaouki Aouine^ab, Abdelkrim Aliouche<sup>a

a</sup> Larbi Ben M'Hidi University, Oum-El-Bouaghi, 04000, Algeria
^b Mohamed-Cherif Messaadia University Souk Ahras, 41000, Algeria

Аннотация: We prove coincidence and common fixed points theorem for two self-mappings in complete metric spaces. Our theorem generalizes Theorem 1 of [19]. 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.

Ключевые слова и фразы: coincidence point, common fixed point, metric space, dynamic programming.

MSC: 47H10, 54H25

Поступила в редакцию: 11.05.2020

Язык публикации: английский