A nonunique common fixed point theorem of Rhoades type in b-metric spaces with applications

Author(s):

Taieb Hamaizia , Abdelkrim Aliouche

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The aim of this paper is to prove a nonunique common fixed point theorem of Rhoades type for two self-mappings in complete b-metric spaces. This theorem extends the results of [17] and [49]. Examples are furnished to illustrate the validity of our results. We apply our theorem to establish the existence of common solutions of a system of two nonlinear integral equations and a system of two functional equations arising in dynamic programming.

Keywords:

b-metric space , Common fixed point , Picard sequence , Nonlinear integral equations , Dynamic programming

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 2, Summer-Autumn 2021
Pages:
399 to 413
https://www.magiran.com/p2329952