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Title: The existence theorem of a new multi-valued mapping in metric space endowed with graph
Authors: Araya Kheawborisut
Suthep Suantai
Atid Kangtunyakarn
Keywords: Mathematics
Issue Date: 1-Jan-2017
Abstract: © 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.
ISSN: 18434401
Appears in Collections:CMUL: Journal Articles

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