Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME FIXED POINT RESULTS ON DOUBLE CONTROLLED CONE METRIC SPACES

  • A. Herminau Jothy (Department of Mathematics, Bharathidasan University) ;
  • P. S. Srinivasan (Department of Mathematics, Bharathidasan University) ;
  • Laxmi Rathour (Department of Mathematics, National Institute of Technology) ;
  • R. Theivaraman (Department of Mathematics, Bharathidasan University) ;
  • S. Thenmozhi (Department of Mathematics, SRM Institute of Science and Technology)
  • Received : 2023.09.21
  • Accepted : 2024.06.16
  • Published : 2024.06.30
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Abstract

In this text, we investigate some fixed point results in double-controlled cone metric spaces using several contraction mappings such as the B-contraction, the Hardy-Rogers contraction, and so on. Additionally, we prove the same fixed point results by using rational type contraction mappings, which were discussed by the authors Dass. B. K and Gupta. S. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics.

Keywords

Acknowledgement

All the authors express gratitude to The Korean Journal of Mathematics for their assistance in getting this manuscript completed. We would like to express our gratitude to the editors and the reviewers for their thorough reading and giving the opportunity to reset the manuscript in a nice way.

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