A BORSUK-TYPE THEOREM FOR SOME CLASSES OF PERTURBED FREDHOLM MAPS

被引：0
|
作者：
Benevieri, Pierluigi [1 ]
Calamai, Alessandro [2 ]
机构：
[1] Univ Florence, Dipartimento Matemat Applicata Giovanni Sansone, I-50139 Florence, Italy
[2] Univ Politecn Marche, Dipartimento Sci Matemat, I-60131 Ancona, Italy
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2010年 / 35卷 / 02期
关键词：
Oriented Fredholm maps; Borsuk odd mapping theorem; topological degree; measure of noncompactness; alpha-contractive maps;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an odd mapping theorem of Borsuk type for locally compact perturbations of Fredholm maps of index zero between Banach spaces. We extend this result to a more general class of perturbations of Fredholm maps, defined in terms of measure of noncompactness.
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页码：379 / 394
页数：16
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