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

	A nonunique common fixed point theorem of Rhoades type in b-metric spaces with applications
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 399-413 اصل مقاله (418.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22279.2344
نویسندگان
Taieb Hamaizia^* ؛ Abdelkrim Aliouche
System Dynamics and Control Laboratory , Department of mathematics and informatics, OEB University, Algeria
چکیده
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.
کلیدواژه‌ها
b-metric space؛ common fixed point؛ Picard sequence؛ nonlinear inte- gral equations؛ dynamic programming
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