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

页码：233 / 244

页数：12

共 31 条

[1] Leggett-Williams norm-type theorems for coincidences
Donal O’Regan
Mirosława Zima
Archiv der Mathematik, 2006, 87 : 233 - 244
[2] Leggett-Williams norm-type fixed point theorems
Zima, M
DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 551 - 559
[3] AN EXTENSION OF LEGGETT-WILLIAMS NORM-TYPE THEOREM FOR COINCIDENCES AND ITS APPLICATION
Yang, Aijun
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 37 (01) : 177 - 191
[4] Leggett-Williams norm-type fixed point theorems for multivalued mappings
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APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1238 - 1249
[5] Leggett-Williams theorems for coincidences of multivalued operators
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[6] SOME FIXED POINT THEOREMS OF LEGGETT-WILLIAMS TYPE
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[7] Leggett-Williams type theorems with applications to nonlinear differential and integral equations
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[8] Fixed point theorem of Leggett-Williams type and its application
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[9] Generalization for Amann's and Leggett-Williams' three-solution theorems and applications
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (02) : 638 - 654
[10] FUNCTIONAL EXPANSION - COMPRESSION FIXED POINT THEOREM OF LEGGETT-WILLIAMS TYPE
Anderson, Douglas R.
Avery, Richard I.
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ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,

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