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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 | ||
تاریخ دریافت: 12 دی 1399، تاریخ بازنگری: 03 بهمن 1399، تاریخ پذیرش: 14 اسفند 1399 | ||
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 | ||
مراجع | ||
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