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

ISSN : 1226-0657

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Vol.26 No.4

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Utilizing Isotone Mappings under Mizoguchi-Takahashi Contraction to prove Multidimensional Fixed Point Theorems with Application

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
2019, v.26 no.4, pp.289-303
https://doi.org/10.7468/jksmeb.2019.26.4.289
Handa, Amrish
Handa,, A. (2019). Utilizing Isotone Mappings under Mizoguchi-Takahashi Contraction to prove Multidimensional Fixed Point Theorems with Application. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(4), 289-303, https://doi.org/10.7468/jksmeb.2019.26.4.289

Abstract

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Mizoguchi-Takahashi contraction on a complete metric space endowed with a partial order. As an application of our result we study the existence and uniqueness of the solution to integral equation. The results we obtain generalize, extend and unify several very recent related results in the literature.

keywords
fixed point, Mizoguchi-Takahashi contraction, partially ordered metric space, non-decreasing mapping, mixed monotone mapping, integral equation

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

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