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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.2

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Fixed point theorems in controlled rectangular metric spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.2, pp.169-190
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.169
Mohamed Rossafi
Abdelkarim Kari
Mohamed, R. , & Abdelkarim, K. (2023). Fixed point theorems in controlled rectangular metric spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(2), 169-190, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.169

Abstract

In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the definition of a metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our main results extends and improves many results existing in the literature. Moreover, an illustrative example is presented to support the obtained results.

keywords
fixed point, controlled metric type space, extended rectangular b-metric space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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