Some coincidence points theorems for multi-valued F-weak contractions on complete metric space endowed with a graph
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Author list: Sumalai P., Kumam P., Panthong C.
Publication year: 2016
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 14
Issue number: SpecialIssueACFPTO2016
Start page: 61
End page: 76
Number of pages: 16
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce the concepts of weak g-graph-preserving for multi-valued mappings and weak F-G-contractions in a metric space endowed with a directed graph. We establish some coincidence point theorems for this type of mappings in a complete metric space endowed with a directed graph. Examples illustrating our main results are also presented. Our results extend and generalize various known results in the literature. ฉ 2016 by the Mathematical Association of Thailand. All rights reserved.
Keywords
Closed multi-valued F-contractions, F-contractive condition of Hardy-Rogers-type mappings, Nonlinear integral equation
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