Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Academic Editor: W. A. Kirk
Copyright © 2010 M. A. Al-Thagafi and Naseer Shahzad. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Some new Krasnosel'skii-type fixed-set theorems are proved for the sum , where is a multimap and is a self-map. The common domain of and is not convex. A positive answer to Ok's question (2009) is provided. Applications to the theory of self-similarity are also given.