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arXiv · 1806.09928

Weak orthogonal metric spaces and fixed point results

Tanusri Senapati
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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].

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Tanusri Senapati. 2018-06-26. Weak orthogonal metric spaces and fixed point results. https://arxiv.org/abs/1806.09928

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