Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu

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In this paper we define $\alpha$ - admissibility of multi-valued mapping with respect to a single-valued mapping and use this concept to establish a coincidence point theorem for pairs of nonlinear multi-valued and single-valued mappings under the assumption of an inequality with rational terms. We illustrate the result with an example. In the second part of the paper we prove the stability of the coincidence point sets associated with the pairs of mappings in our coincidence point theorem. For that purpose we define the corresponding stability concepts of coincidence points. The results are primarily in the domain of nonlinear set-valued analysis.


Hausdorff metric, $\alpha$-admissible mappings, coincidence point, stability


Hausdorff metric; $\alpha$-admissible mappings; coincidence point; stability.

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DOI: https://doi.org/10.22190/FUMI1704469C


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