Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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SOME RATIONAL F-CONTRACTIONS IN b-METRIC SPACES AND FIXED POINTS

  • Stephen, Thounaojam (Department of Mathematics National Institute of Technology Manipur) ;
  • Rohen, Yumnam (Department of Mathematics National Institute of Technology Manipur) ;
  • Singh, M. Kuber (Department of Mathematics D. M. College of Science, D. M. University) ;
  • Devi, Konthoujam Sangita (Department of Mathematics D. M. College of Science, D. M. University)
  • Received : 2021.09.28
  • Accepted : 2022.01.18
  • Published : 2022.06.08
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Abstract

In this paper, we introduce the notion of a new generalized type of rational F-contraction mapping. Further, the concept is used to obtain fixed points in a complete b-metric space. We also prove another unique fixed point theorem in the context of b-metric space. Our results are verified with example.

Keywords

Acknowledgement

Thounaojam Stephen (First author) is supported by CSIR, New Delhi.

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