Krasnosel'skii fixed point theorem for dissipative operators

In this note, a sufficient condition guaranteing the existence of fixed points in a nonempty, closed convex K for T+S is given, where $T:Ksubset Eo E$ is dissipative and $S:Ko E$ is condensing. This may indicate a new direction of the Krasnoselskii type fixed point theorem.

Bibliographic Details
Main Author: Tian Xiang
Format: Article
Language:English
Published: Texas State University 2011-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/147/abstr.html