Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS IN ORDERED b-METRIC SPACES WITH ALTERNATING DISTANCE FUNCTIONS

  • Bouhafs, Radia (Department of Mathematics, Faculty of Science) ;
  • Tallafha, Abdalla Ahmed (Department of Mathematics, Faculty of Science) ;
  • Shatanawi, Wasfi (Department of Mathematics and General Sciences, Prince Sultan University, Department of Mathematics, Hashemite University)
  • Received : 2020.12.17
  • Accepted : 2021.03.07
  • Published : 2021.09.15
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Abstract

In this paper we obtain a unique common fixed point theorem for four self-maps which are involved in (𝜙, 𝜓)-weak contraction of a partially ordered b-metric space. The necessary condition has been given to a space for the existence of an unique common fixed of the maps. And our work changed conditions and nonlinear contraction, and search for the unique common fixed point of the maps.

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References

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