Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220211101A nonunique common fixed point theorem of Rhoades type in b-metric spaces with applications399413505010.22075/ijnaa.2021.22279.2344ENTaieb HamaiziaSystem Dynamics and Control Laboratory , Department of mathematics and informatics, OEB University, AlgeriaAbdelkrim AlioucheSystem Dynamics and Control Laboratory , Department of mathematics and informatics, OEB University, AlgerianullJournal Article20210101The 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.https://ijnaa.semnan.ac.ir/article_5050_b5740577d9c5b3c3d44743dd1d198346.pdf