Title : ( Fixed point of multivalued contractions between uniform spaces endowed with a graph )
Authors: Seyyed Alireza Kamel Mirmostafaee , boshra hosseini ,
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Abstract
Let (X, υ) be a uniform space endowed with a graph G and with a ε−distance ρ, and let (2X, 2υ) be its hyper uniform space. We define a Hausdorff ε−distance Hρ, generated by ρ, on 2X and the notion of set valued G−ρ−contraction from (x, υ) into (2X, 2υ). Finally we prove that each set valued G−ρ−contraction has a fixed point.
Keywords
, Uniform space, multivalued contraction, fixed point, graph.
@inproceedings{paperid:1062382,
author = {Kamel Mirmostafaee, Seyyed Alireza and Hosseini, Boshra},
title = {Fixed point of multivalued contractions between uniform spaces endowed with a graph},
booktitle = {سومین سمینار نظریه عملگرها و کاربردهای آن},
year = {2017},
location = {مشهد, IRAN},
keywords = {Uniform space; multivalued contraction; fixed point; graph.},
}
%0 Conference Proceedings
%T Fixed point of multivalued contractions between uniform spaces endowed with a graph
%A Kamel Mirmostafaee, Seyyed Alireza
%A Hosseini, Boshra
%J سومین سمینار نظریه عملگرها و کاربردهای آن
%D 2017
