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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.33 No.3

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Coincidence points of mappings on relational metric spaces with applications

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.3, pp.249-266
https://doi.org/10.7468/jksmeb.2026.33.3.249
Gopi Prasad (Government Degree College Rudraprayag)
Gopi, P. (2026). Coincidence points of mappings on relational metric spaces with applications, 33(3), 249-266, https://doi.org/10.7468/jksmeb.2026.33.3.249

Abstract

In this paper, we prove the existence of coincidence points under nonlinear contraction on the settings of metric spaces endowed with an arbitrary binary relation. A suitable non-trivial example is provided to validate the claims of such findings. In addition, we also present an application for the utility of such newly obtained coincidence point results by solving the system of nonlinear fractional differential equations of Caputo type.

keywords
Coincidence point, binary relation, R-continuity

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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