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

被引：0
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作者：
Fuli Wang
机构：
[1] Changzhou University,School of Mathematics and Physics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
measure of weak noncompactness; weak condensing; -nonlinear contraction; nonlinear Hammerstein integral equations;
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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 φ-nonlinear contraction. In the last section, we apply such results to study the existence of solutions to a nonlinear Hammerstein integral equation in L1 space.
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