DOI QR코드

DOI QR Code

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)
  • 투고 : 2018.03.03
  • 심사 : 2018.11.24
  • 발행 : 2018.11.30

초록

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.

키워드

참고문헌

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