| Volume 8, Number 6, 2018, Pages 1747-1757 DOI：10.11948/2018.1747 |
| Multivalued fixed point in Banach algebra using continuous selection and its application to differential inclusion |
| G. Poonguzali,Muthiah Marudai,Choonkil Park |
| Keywords:Perfectly normal, Hausdorff metric, set-valued nonexpansive map, fixed point, differential inclusion. |
| 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 $Ax\cdot Bx.$ Using those
fixed point results, we give the existence of solution for a newly developed
differential inclusion. |
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