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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

한국수학교육학회지시리즈B:순수및응용수학 / 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). , 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

한국수학교육학회지시리즈B:순수및응용수학

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