In this note, a sufficient condition guaranteing the existence of fixed points in a nonempty, closed convex K for T+S is given, where is dissipative and is condensing. This may indicate a new direction of the Krasnoselskii type fixed point theorem.
Submitted July 22, 2011. Published November 3, 2011.
Math Subject Classifications: 37C25, 47H09,47H10, 47H30.
Key Words: Dissipative operator; condensing operator; fixed point.
Show me the PDF file (166 KB), TEX file, and other files for this article.
| Tian Xiang |
Department of Mathematics, Tulane University
New Orleans, LA 70118, USA
Return to the EJDE web page