Weak orthogonal metric spaces and fixed point results
Functional Analysis
2018-06-27 v1
Abstract
In this article we extend the notion of orthogonal metric space to weak orthogonal metric space. Then we establish fixed point results for a mapping satisfying a more general contraction condition. Several nontrivial examples are given in support of our obtained results. Moreover, we are able to answer of the open question posed by Eshaghi et al. [On orthogonal sets and Banach fixed point theorem, Fixed Point Theory, 18(2017), 569-578].
Cite
@article{arxiv.1806.09928,
title = {Weak orthogonal metric spaces and fixed point results},
author = {Tanusri Senapati},
journal= {arXiv preprint arXiv:1806.09928},
year = {2018}
}