Coupled fixed points of monotone mappings in a metric space with a graph


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	Coupled fixed points of monotone mappings in a metric space with a graph


	Fixed Point Theory, Volume 19, No. 1, 2018, 33-44, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.04 Authors: Monther Rashed Alfuraidan and Mohamed Amine Khamsi Abstract: In this work, we define the concept of mixed G-monotone mappings defined on a metric space endowed with a graph. Then we obtain sufficient conditions for the existence of coupled fixed points for such mappings when a weak contractivity type condition is satisfied. Key Words and Phrases: Directed graph, coupled fixed point, mixed monotone mapping, multivalued mapping. 2010 Mathematics Subject Classification: 47H09, 6B20, 47H10, 47E10. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents