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ISSN : 1226-0657

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Vol.20 No.3

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COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

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
2013, v.20 no.3, pp.159-180
https://doi.org/10.7468/jksmeb.2013.20.3.159
Deshpande, Bhavana
Sharma, Sushil
Handa, Amrish
Deshpande,, B. , Sharma,, S. , & Handa,, A. (2013). COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(3), 159-180, https://doi.org/10.7468/jksmeb.2013.20.3.159

Abstract

We establish a common fixed point theorem for mappings under <TEX>${\phi}$</TEX>-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

keywords
coupled coincidence point, coupled fixed point, intuitionistic fuzzy metric space, compatible mappings

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

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