Tian Xiang, Rong Yuan
Abstract:
In this article, we establish some fixed point results
of Krasnoselskii type for the sum T+S, where S is
weakly continuous and T may not be continuous.
Some of the main results complement and encompass the
previous ones. As an application, we study the existence
of solution to one parameter operator equations.
Finally, our results are used to prove the existence of
solution for integral equations in reflexive Banach spaces.
Submitted February 9, 2009. Published March 9, 2010.
Math Subject Classifications: 37C25, 47H10, 31B10.
Key Words: Expansive mapping; fixed point; weakly continuous;
integral equation.
Show me the PDF file (275 KB), TEX file, and other files for this article.
 |
Tian Xiang School of Mathematical Sciences, Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education, Beijing 100875, China email: tianx@mail.bnu.edu.cn |
|---|---|
 |
Rong Yuan School of Mathematical Sciences, Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education, Beijing 100875, China email: ryuan@bnu.edu.cn |
Return to the EJDE web page