DOI: 10.24193/fpt-ro.2022.2.10

Authors: Pratikshan Mondal, Hiranmoy Garai and Lakshmi Kanta Dey

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. [Some remarks on b_v(s)-metric spaces and fixed point results with an application]. 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 generalize several important results in the literature.

Key Words and Phrases: b_v(s)-metric space, sequentially compact space, complete space, contractive mapping.

2010 Mathematics Subject Classification: 47H10, 54H25.

Published on-line: June 15th, 2022.

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