The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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UTILIZING ISOTONE MAPPINGS UNDER GERAGHTY-TYPE CONTRACTION TO PROVE MULTIDIMENSIONAL FIXED POINT THEOREMS WITH APPLICATION

  • Deshpande, Bhavana (Department of Mathematics, Govt. P. G. Arts and Science College) ;
  • Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
  • Received : 2018.03.03
  • Accepted : 2018.11.24
  • Published : 2018.11.30
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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.

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References

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