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

ISSN : 3059-0604

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Vol.25 No.4

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UTILIZING ISOTONE MAPPINGS UNDER GERAGHTY-TYPE CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION

UTILIZING ISOTONE MAPPINGS UNDER GERAGHTY-TYPE CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2018, v.25 no.4, pp.279-295
https://doi.org/10.7468/jksmeb.2018.25.4.279
Deshpande, Bhavana (Department of Mathematics, Govt. P. G. Arts and Science College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
Deshpande, Bhavana, & Handa, Amrish. (2018). UTILIZING ISOTONE MAPPINGS UNDER GERAGHTY-TYPE CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION, 25(4), 279-295, https://doi.org/10.7468/jksmeb.2018.25.4.279

Abstract

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Geraghty-type 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 a nonlinear Fredholm integral equation. Our results generalize, extend and unify several classical and very recent related results in the literature in metric spaces.

keywords
fixed point, Geraghty-type contraction, partially ordered metric space, non-decreasing mapping, mixed monotone mapping

한국수학교육학회지시리즈B:순수및응용수학

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