Further investigation into the contractive condition in $\mathcal{D}$-generalized metric spaces with the transitivity

Document Type : Research Paper


1 Department of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Mai 50300, Thailand

2 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12120, Thailand


In this paper, we present fixed point results in $\mathcal{D}$-generalized metric spaces endowed with a transitive relation that is not necessarily a partial order. We also give two examples with numerical results to support our main results while fixed-point results in the literature are not applicable. Moreover, we introduce some new notions for consideration of the multidimensional fixed point results in the $\mathcal{D}$-generalized metric spaces.


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Volume 14, Issue 7
July 2023
Pages 331-344
  • Receive Date: 27 March 2021
  • Accept Date: 29 May 2021
  • First Publish Date: 27 October 2022