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MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION
- Authors
- Poonguzali, G.; Marudai, Muthiah; Park, Choonkil
- Issue Date
- Dec-2018
- Publisher
- WILMINGTON SCIENTIFIC PUBLISHER, LLC
- Keywords
- Perfectly normal; Hausdorff metric; set-valued nonexpansive map; fixed point; differential inclusion
- Citation
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, v.8, no.6, pp.1747 - 1757
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
- Volume
- 8
- Number
- 6
- Start Page
- 1747
- End Page
- 1757
- ISSN
- 2156-907X
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)