Existence and stability of coupled fixed point sets for multi-valued mappings



	Existence and stability of coupled fixed point sets for multi-valued mappings


	Fixed Point Theory, Volume 22, No. 2, 2021, 571-586, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.38 Authors: Binayak S. Choudhury, T. Gnana Bhaskar, N. Metiya and S. Kundu Abstract: The existence of a coupled fixed point for a multi-valued mapping satisfying a certain admissibility condition is established. Requirement that the mapping be a contraction is met implicitly through a function of several variables. Further, we study the stability of coupled fixed point sets for such mappings. Several illustrative examples are presented. Key Words and Phrases: Metric space, admissible maps, implicit relation, coupled fixed point, stability. 2010 Mathematics Subject Classification: 47H10, 54H10, 54H25. Published on-line: July 1st, 2021. Abstract pdf Fulltext pdf Back to volume's table of contents