Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 147, pp. 1-5.
Title: Krasnosel'skii fixed point theorem for dissipative operators
Author: Tian Xiang (Tulane Univ., New Orleans, LA, USA)
Abstract:
In this note, a sufficient condition guaranteing the existence of
fixed points in a nonempty, closed convex K for T+S is given,
where $T:K\subset E\to E$ is dissipative and $S:K\to E$ is condensing.
This may indicate a new direction of the Krasnoselskii type fixed
point theorem.
Submitted July 22, 2011. Published November 03, 2011.
Math Subject Classifications: 37C25, 47H09,47H10, 47H30.
Key Words: Dissipative operator; condensing operator; fixed point.