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arXiv · 2005.05043

On contractive mappings in $b_v(s)$-metric spaces

Pratikshan Mondal·Hiranmoy Garai·Lakshmi Kanta Dey
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Abstract

The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up some fixed point results associated with two types of contractive mappings in $b_v(s)$-metric spaces and then we give an answer, in positive, to the open question. Most importantly, we characterize the completeness of a $b_v(s)$-metric space via fixed point property of a certain type of contractive mappings. Our results extend and generalized several important results in the literature.

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Pratikshan Mondal, Hiranmoy Garai, Lakshmi Kanta Dey. 2020-05-07. On contractive mappings in $b_v(s)$-metric spaces. https://arxiv.org/abs/2005.05043

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