Title of article
b-metric spaces with a graph and best proximity points for some contractions
Author/Authors
Fallahi, K. Department of Mathematics - Payame Noor University, Tehran , Ayobian, M. Department of Mathematics - Payame Noor University, Tehran
Pages
10
From page
277
To page
286
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
Best proximity point , G-continuous mapping fixed point
Journal title
Journal of Linear and Topological Algebra
Serial Year
2021
Record number
2702596
Link To Document