Multivalued maps as a tool in modeling and rigorous numerics |
| |
Authors: | Tomasz Kaczynski |
| |
Affiliation: | (1) Département de mathématiques, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1 |
| |
Abstract: | Applications of the fixed point theory of multivalued maps can be classified into several areas: (1) Game theory and mathematical economics; (2) Discontinuous differential equations, differential inclusions, and optimal control; (3) Computing homology of maps; (4) Computer assisted proofs in dynamics; (5) Digital imaging. We give an overview of the most classical and well developed areas of applications (1) and (2), where a multivalued map is used as a generalization of a single-valued continuous map, and we survey more recent applications (3), (4), and (5), where multivalued maps play the role of a numerical tool. Dedicated to Felix Browder on his 80th birthday |
| |
Keywords: | KeywordHeading" >. Multivalued map fixed point Conley index Poincaré map Morse connections graph |
本文献已被 SpringerLink 等数据库收录! |
|