$b$-metric spaces with a graph and best proximity points for some contractions
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph. Then we support our main theorem by a non-trivial example and give some consequences of it for usual graphs.
Keywords:
Language:
English
Published:
Journal of Linear and Topological Algebra, Volume:10 Issue: 4, Autumn 2021
Pages:
277 to 286
https://www.magiran.com/p2370624