Krasnosel'skii fixed point theorem for dissipative operators

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 $T:Ksubset Eo E$ is dissipative and $S:Ko E$ is condensing. This may indicate a new direction of the Krasnoselskii type fixed point theorem.

Keywords

• Dissipative operator
• condensing operator
• fixed point