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

The Existence of a Solution of the Integral Equation on Tripled b-metric Spaces

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
2025, v.32 no.3, pp.171-190
https://doi.org/10.7468/jksmeb.2025.32.3.171
Gh. Khalilzadeh Ranjbar (Bu-Ali Sina University)

Abstract

In this paper, we introduce a tripled b-metric spaces and tripled Hardy-Rogers-type (F, β)-contraction and establish fixed point theorems for these contractions and use our fixed point theorems to prove the existence theorem for Volterra-type integral inclusion.

keywords
Fixed point, Tripled b-metric space, Tripled Hardy-Rogers-type, (F, β)-contractions

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