A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

被引：13
|
作者：
Agarwal, RP
O'Regan, D
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 123卷 / 02期
关键词：
axiomatic index theory; multiple solutions; integral inclusions;
D O I：
10.1016/S0096-3003(00)00077-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of three fixed points is established for multivalued maps which satisfy an axiomatic index theory. Our results enable us to develop criteria for the existence of three nonnegative solutions to integral inclusions. (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：263 / 274
页数：12
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