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Date Published: 31/08/2022
Online Published: 31/08/2022
Abstract Views: 174
Views PDF: 107
DOI: https://doi.org/10.54607/hcmue.js.19.8.3543(2022)
Issue
Vol. 19 No. 8 (2022)
Section
Natural Sciences and Technology
How to Cite
Nguyễn , B. H., & Nguyễn , Đ. Q. (2022). FIXED POINT INDEX FOR SOME CLASSES OF MULTIVALUED MAPPINGS IN ORDERED BANACH SPACES. HCMUE Journal of Science, 19(8), 1332. https://doi.org/10.54607/hcmue.js.19.8.3543(2022)

FIXED POINT INDEX FOR SOME CLASSES OF MULTIVALUED MAPPINGS IN ORDERED BANACH SPACES

Bích Huy Nguyễn , Đăng Quang Nguyễn

Main Article Content

Abstract

The fixed point index theory for multivalued mappings in ordered Banach spaces developed by many mathematicians in the 1970s has provided a new and effective tool in studying differential inclusions and partial derivatives. In this paper, from the general properties of the fixed point index for multivalued mappings in cones, we deduce new results on computing this index, which are easily applied in concrete problems. Partially, we prove that the derivative of a compact upper semi-continuous multivalued mapping A with convex closed values is a compact mapping, and the fixed point index of A can be computed by the index of its derivative.

Keywords

compact upper semi-continuous multivalued mappings, cone, fixed point index, order relations

Article Details

References

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