Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS IN b-METRIC AND EXTENDED b-METRIC SPACES

  • P. Swapna (Department of Mathematics, JNTUH(MVSR Engineering College)) ;
  • T. Phaneendra (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology) ;
  • M. N. Rajashekhar (Department of Mathematics, JNTUH)
  • Received : 2023.01.19
  • Accepted : 2023.05.29
  • Published : 2023.12.15
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Abstract

The first result of this paper is to give a revised proof of Sanatammappa et al.'s recent result in a b-metric space, under appropriate choice of constants without using the continuity of the b-metric. The second is to prove a fixed point theorem under a contraction type condition in an extended b-metric space.

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Acknowledgement

The authors express sincere thanks to the referees for their useful suggestions in improving the paper.

References

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