The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

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

  • Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
  • Received : 2019.07.17
  • Accepted : 2019.10.05
  • Published : 2019.11.30
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Abstract

We study the existence and uniqueness of fixed point for isotone mappings of any number of arguments under Mizoguchi-Takahashi 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 integral equation. The results we obtain generalize, extend and unify several very recent related results in the literature.

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References

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