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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. P. G. Arts and Science College)

Handa, Amrish. (2019). UTILIZING ISOTONE MAPPINGS UNDER MIZOGUCHI-TAKAHASHI CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION. 한국수학교육학회지시리즈B:순수및응용수학, 26(4), 289-303, https://doi.org/10.7468/jksmeb.2019.26.4.289

복사

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

바로가기메뉴

논문 상세

Vol.26 No.4

UTILIZING ISOTONE MAPPINGS UNDER MIZOGUCHI-TAKAHASHI CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학