期刊论文详细信息
Fixexd point theory and applications | |
Note on essential fixed points of approximable multivalued mappings | |
Lech Gó1  Jan Andres2  rniewicz3  | |
[1] University, Olomouc, Czech Republic;Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, PalackýInstitute of Mathematics, University of Kazimierz Wielki, Bydgoszcz, Poland | |
关键词: essential fixed points; fixed point index; Lefschetz number; absolute neighborhood retracts; approximable multivalued mappings; J-maps; Poincaré translation operators; dissipative differential inclusions; discretely essential periodic solutions; 55M20; 54C60; 55M15; 54H25; 47H04; 47H10; 34A60; 34C25; | |
DOI : 10.1186/s13663-016-0568-6 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
A new definition of essential fixed points is introduced for a large class of multivalued maps. Two abstract existence theorems are presented for approximable maps on compact ANR-spaces in terms of a nontrivial fixed point index, or a nontrivial Lefschetz number and a zero topological dimension of the fixed point set. The second one is applied to the periodic dissipative Marchaud differential inclusions for obtaining the existence of a discretely essential subharmonic solution. Three simple illustrative examples are supplied.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904023143136ZK.pdf | 1608KB | download |