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

G. Poonguzali; Muthiah Marudai; Choonkil Park

doi:10.11948/2018.1747

2018 Volume 8 Issue 6

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G. Poonguzali, Muthiah Marudai, Choonkil Park. MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1747-1757. doi: 10.11948/2018.1747

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G. Poonguzali, Muthiah Marudai, Choonkil Park. MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION[J]. Journal of Applied Analysis & Computation, 2018, 8(6): 1747-1757. doi: 10.11948/2018.1747

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

1 Department of Mathematics, Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu, India;
2 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

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Abstract

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.
- Perfectly normal /
- Hausdorff metric /
- set-valued nonexpansive map /
- fixed point /
- differential inclusion
MSC: 47H04;47H10;28B20;54C65;49K24;49J24

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References

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