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Common fixed point theorems under implicit contractive condition using E. A. property on metric-like spaces employing an arbitrary binary relation with some application | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 188، دوره 13، شماره 2، مهر 2022، صفحه 2325-2346 اصل مقاله (446.39 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23494.2548 | ||
نویسندگان | ||
Lucas Wangwe؛ Santosh Kumar* | ||
Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania | ||
تاریخ دریافت: 03 خرداد 1400، تاریخ بازنگری: 08 خرداد 1400، تاریخ پذیرش: 22 خرداد 1400 | ||
چکیده | ||
In this paper, parallel to the ideas based on Ahmadullah et al. [3, 4, 5], and Eke et al. [17], we prove the existence and uniqueness of the common fixed point for a pair of self-mappings employing (E. A.)-property in metric-like spaces for implicit contractive mappings related to binary relation. Henceforth, results obtained will be verified with the help of illustrative examples. As an application of the results, we solve two boundary value problems of the second-order differential equation. | ||
کلیدواژهها | ||
Common fixed point؛ (E. A.) - property؛ Metric-like spaces؛ binary relation؛ implicit relation؛ integral equation | ||
مراجع | ||
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