English

Existence and uniqueness of fixed point on closed ball in multiplicative $\mathbf{G}_\mathcal{M}-$metric space

Functional Analysis 2022-06-14 v1

Abstract

In this article, we investigate some fixed point results satisfying a new generalized Δ\Delta-implicit contractive condition in ordered complete multiplicative GM\mathbf{G}_\mathcal{M}-metric space. Also, some new definitions and fixed point theorems are presented in ordered complete multiplicative GM\mathbf{G}_\mathcal{M}-metric space. Furthermore, some nontrivial and illustrative examples are given to validate our obtained results.

Keywords

Cite

@article{arxiv.2206.06345,
  title  = {Existence and uniqueness of fixed point on closed ball in multiplicative $\mathbf{G}_\mathcal{M}-$metric space},
  author = {Mohamed Gamal and Fu-Gui Shi},
  journal= {arXiv preprint arXiv:2206.06345},
  year   = {2022}
}