Leggett-Williams norm-type theorems for coincidences

被引：48
|
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
收藏
页码：233 / 244
页数：12
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