The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

  • 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)
  • Received : 2013.03.08
  • Accepted : 2013.05.13
  • Published : 2013.08.31
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Abstract

We establish a common fixed point theorem for mappings under ${\phi}$-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.

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References

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  1. Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ - ψ Contraction vol.2014, pp.None, 2014, https://doi.org/10.1155/2014/608725
  2. Some fuzzy common fixed point theorems using common limit in the range property with an application vol.24, pp.2, 2020, https://doi.org/10.5937/matmor2002033p