Geodesic
Krasnoselskii-type fixed point theorems under weak topology settings and applications
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 37C25, 47H10, 31B10
Keywords: expansive mapping, fixed point, weakly continuous, integral equation 
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     author = {Xiang, Tian and Yuan, Rong},
     title = {Krasnoselskii-type fixed point theorems under weak topology settings and applications},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a257/}
}
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Xiang, Tian; Yuan, Rong. Krasnoselskii-type fixed point theorems under weak topology settings and applications. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a257/