English

$\eta$-metric structures

General Topology 2017-09-25 v1

Abstract

In this paper, we discuss recent results about generalized metric spaces and fixed point theory. We introduce the notion of η\eta-cone metric spaces, give some topological properties and prove some fixed point theorems for contractive type maps on these spaces. In particular we show that theses η\eta-cone metric spaces are natural generalizations of both cone metric spaces and metric type spaces.

Keywords

Cite

@article{arxiv.1709.07690,
  title  = {$\eta$-metric structures},
  author = {Yaé Ulrich Gaba},
  journal= {arXiv preprint arXiv:1709.07690},
  year   = {2017}
}
R2 v1 2026-06-22T21:51:44.322Z