Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators

Binayak S. Choudhury, Nikhilesh Metiya and Sunirmal Kundu

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: In this work we consider a fixed point problem related to a multivalued coupled mapping which we define here. The function is also assumed to satisfy α- dominating condition which is a conceptual extension of admissibility condition. We show that the fixed point problem is solvable for the case of the mapping we consider here. Further we examine the data-dependence and stability of fixed point sets associated with the coupled multivalued mapping. The main result is deduced in metric spaces. Its consequences are discussed in partially ordered metric spaces as well as in metric spaces with a graph. There are some illustrative examples. The work is in the domain of setvalued analysis.

Keywords: Metric space; Coupled fixed point; Data-dependence; Stability; Partial order; Graph (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300801

DOI: 10.1016/j.chaos.2020.109678

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