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arXiv · 1310.3412

Modular cone metric spaces

Saeedeh Shamsi Gamchi·Mohammad Janfada·Asadollah Niknam
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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.

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Saeedeh Shamsi Gamchi, Mohammad Janfada, Asadollah Niknam. 2013-10-12. Modular cone metric spaces. https://arxiv.org/abs/1310.3412

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