Modular cone metric spaces
Functional Analysis
2013-10-15 v1
Abstract
In this paper the notion of modular cone metric space is introduced and some properties of such spaces are investigated. Also we define convex modular cone metric which takes values in CR(Y) where Y is a compact Hausdorff space. Then a fixed point theorem is proved for contractions in these spaces. Furthermore, we make a remark on paper [9] and it will be proved that their fixed point result in modular metric spaces is not true.
Cite
@article{arxiv.1310.3412,
title = {Modular cone metric spaces},
author = {Saeedeh Shamsi Gamchi and Mohammad Janfada and Asadollah Niknam},
journal= {arXiv preprint arXiv:1310.3412},
year = {2013}
}
Comments
10 pages