$\eta$-metric structures

Yaé Ulrich Gaba

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arXiv · 1709.07690

$\eta$-metric structures

Yaé Ulrich Gaba

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Abstract

In this paper, we discuss recent results about generalized metric spaces and fixed point theory. We introduce the notion of $\eta$-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 $\eta$-cone metric spaces are natural generalizations of both cone metric spaces and metric type spaces.

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Yaé Ulrich Gaba. 2017-09-22. $\eta$-metric structures. https://arxiv.org/abs/1709.07690

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