Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph

Author(s):

Kamal Fallahi *

Message:
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 under two different conditions‎. ‎We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.

Keywords:

Best proximity point‎ , ‎$G$-continuous mapping‎ , ‎$G$-$varphi$-contraction

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:3 Issue: 1, Winter-Spring 2019
Pages:
65 to 73
https://www.magiran.com/p2061597