Banach contraction theorem on fuzzy cone b-metric space

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.

Bibliographic Details
Authors: Chauhan, Surjeet Singh, Gupta, Vishal
Format: article
Status:Published version
Publication Date:2020
Country:México
Institution:UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO
Repository:Journal of Applied Research and Technology
Language:English
OAI Identifier:oai:ojs2.localhost:article/1188
Online Access:https://jart.icat.unam.mx/index.php/jart/article/view/1188
Access Level:Open access
Keyword:Fixed point
Fuzzy metric space
fuzzy cone metric space
fuzzy cone b-metric space
Description
Summary: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.