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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

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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. Arts & Science P.G. College)
Sharma, Sushil (Department of Mathematics, Govt. P. G. Madhav Science College)
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
Deshpande, Bhavana, Sharma, Sushil, & Handa, Amrish. (2013). COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 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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한국수학교육학회지시리즈B:순수및응용수학

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