MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION | Zendy

G. Poonguzali | Zendy; M. Marudai | Zendy; Choonkil Park | Zendy

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MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION

Author(s) -

G. Poonguzali,

M. Marudai,

Choonkil Park

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1747

Subject(s) - differential inclusion , mathematics , fixed point , fixed point theorem , fixed point property , pure mathematics , selection (genetic algorithm) , discrete mathematics , mathematical analysis , computer science , artificial intelligence

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.

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