Abstract

CHAUHAN (GONDER), Surjeet Singh  and  GUPTA, Vishal. Banach contraction theorem on fuzzy cone b-metric space. J. appl. res. technol [online]. 2020, vol.18, n.4, pp.154-160.  Epub July 31, 2021. ISSN 2448-6736.  https://doi.org/10.22201/icat.24486736e.2020.18.4.1188.

In the present paper the notion of fuzzy cone b -metric space has been introduced. Here we have defined fuzzy cone b -contractive mapping, and Banach contraction theorem for single mapping and pair of mappings has been proved in the setting of fuzzy cone b -metric space.

Keywords : Fixed point; fuzzy metric space; fuzzy cone metric space; fuzzy cone b -metric space; 54H25; 54E15; 54E35; 54A40.

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