Title of article :
A topological and geometric approach to fixed points results for sum of operators and applications Original Research Article
Author/Authors :
Cleon S. Barroso، نويسنده , , Eduardo V. Teixeira، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
26
From page :
625
To page :
650
Abstract :
In this paper, we establish a fixed point result of Krasnoselskii type for the sum A+BA+B, where A and B are continuous maps acting on locally convex spaces. Our results extend previous ones. We apply such results to obtain strong solutions for some quasi-linear elliptic equations with lack of compactness. We also provide an application to the existence and regularity theory of solutions to a nonlinear integral equation modeled in a Banach space. In the last section we develop a sequentially weak continuity result for a class of operators acting on vector-valued Lebesgue spaces. Such a result is used together with a geometric condition as the main tool to provide an existence theory for nonlinear integral equations in Lp(E)Lp(E).
Keywords :
Fixed point results of Krasnoselskiiיs type , nonlinear integral equations , Locally convex topological spaces , Elliptic equations with critical exponents
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Serial Year :
2005
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Record number :
858803
Link To Document :
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