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Multivalued fixed point in Banach algebra using continuous selection and its application to differential inclusion

Publication Type : Journal Article

Publisher : Journal of Applied Analysis and Computation.

Source : Journal of Applied Analysis and Computation, Volume 8, p.1747–1757 (2018)

Url : https://pdfs.semanticscholar.org/f465/7daad9032c59300d44497c32d462a2168165.pdf

Keywords : Differential inclusion., fixed point, Hausdorff metric, Perfectly normal, set-valued nonexpansive map .

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : In this paper, we provide some fixed point results using continuous selection given by Poonguzali et al. [15]. Also, using the selection theorem we discusse the existence of fixed point for the product of two multivalued mappings, that is, of the form Ax·Bx. Using those fixed point results, we give the existence of solution for a newly developed differential inclusion.

Cite this Research Publication : Dr. G. Poonguzali, Marudai, M., and Park, C., “Multivalued fixed point in Banach algebra using continuous selection and its application to differential inclusion”, Journal of Applied Analysis and Computation, vol. 8, 6 vol., pp. 1747–1757, 2018.

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