Leggett-Williams norm-type theorems for coincidences

被引：49

作者：

O'Regan, Donal ^{[1
]}

Zima, Miroslawa

机构：

[1] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

[2] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland

来源：

ARCHIV DER MATHEMATIK | 2006年 / 87卷 / 03期

关键词：

D O I：

10.1007/s00013-006-1661-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of positive solutions to the operator equation Lx = Nx, where L is a linear Fredholm mapping of index zero and N is a nonlinear operator. Using the properties of cones in Banach spaces and Leray-Schauder degree for completely continuous operators, k-set contractions and condensing mappings, we obtain some refinements of the results established in [3] and [14].

引用

页码：233 / 244

页数：12

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