Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 35, pp. 1-15.

Title: Krasnoselskii-type fixed point theorems under weak topology
       settings and applications
       
Authors: Tian Xiang (Beijing Normal Univ., Beijing, China)
         Rong Yuan  (Beijing Normal Univ., Beijing, China)

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 09, 2010.
Math Subject Classifications: 37C25, 47H10, 31B10.
Key Words: Expansive mapping; fixed point; weakly continuous; 
           integral equation.