Title of article :
A nonunique common fixed point theorem of Rhoades type in b-metric spaces with applications
Author/Authors :
Hamaizia, Taieb System Dynamics and Control Laboratory - Department of mathematics and informatics - OEB University, Algeria , Aliouche, Abdelkrim System Dynamics and Control Laboratory - Department of mathematics and informatics - OEB University, Algeria
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 inte- gral equations , dynamic programming
Journal title :
International Journal of Nonlinear Analysis and Applications
