Fixed point of set-valued graph contractions in metric spaces

Author(s):

Masoud Ghods , Masoud Hadian Dehkordi*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $T$ be a multivalued mappings on $X.$ Among other things, we obtain a fixed point of the mapping $T$ in the metric space $X$ endowed with a graph $G$ such that the set of vertices of $G,$ $V(G)=X$ and the set of edges of $G,$ $E(G)subseteq Xtimes X.$

Keywords:

Fixed point , multivalued , (G − ψ) contraction , directed graph

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
741 to 747
https://www.magiran.com/p2261251