Fixed-point theorems for the sum of two operators under ω-condensing

被引：8
|
作者：
Wang, Fuli [1 ]
机构：
[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
measure of weak noncompactness; weak condensing; phi-nonlinear contraction; nonlinear Hammerstein integral equations; KRASNOSELSKII-TYPE; SPACES;
D O I：
10.1186/1687-1812-2013-102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to establish fixed-point theorems for the sum of two operators A and B, where the operator A is assumed to be contractive with respect to the measure of weak noncompactness, while B is an phi-nonlinear contraction. In the last section, we apply such results to study the existence of solutions to a nonlinear Hammerstein integral equation in L-1 space.
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页数：13
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