Journal of Applied Mathematics and Stochastic Analysis
Volume 2005 (2005), Issue 2, Pages 89-95
A note on the minimal essential set of coincident points for set-valued mappings
Department of Mathematics, Zhaoqing University, Guangdong, Zhaoqing 526061, China
Received 12 May 2004; Revised 23 November 2004
Copyright © 2005 Luo Qun. 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.
Motivated by the ideas of Kinoshita, we introduce the concept of
minimal essential set of the coincident points for set-valued
mappings, and we prove that there exists at least one minimal
essential set and one essential component of the coincident points
for set-valued mappings (satisfying some conditions).