Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COMMON FIXED POINT THEOREMS IN THE SETTING OF EXTENDED QUASI b-METRIC SPACES UNDER EXTENDED A-CONTRACTION MAPPINGS

  • Amina-Zahra Rezazgui (Department of Mathematics, Faculty of Science, University of Jordan) ;
  • Wasfi Shatanawi (Department of Mathematics and General Sciences, Prince Sultan University, Department of Mathematics, Faculty of Science, Hashemite University) ;
  • Abdalla Ahmad Tallafha (Department of Mathematics, Faculty of Science, University of Jordan)
  • Received : 2022.06.01
  • Accepted : 2022.07.24
  • Published : 2023.03.03
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Abstract

In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

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References

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