Some coincidence points theorems for multi-valued F-weak contractions on complete metric space endowed with a graph

Phumin Sumalai, Poom Kumam, Chaowalit Panthong

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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|