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.

引用

页码：379 / 394

页数：16

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