Journal of Applied Mathematics and Stochastic Analysis 
Volume 2005 (2005), Issue 2, Pages 89-95
doi:10.1155/JAMSA.2005.89

A note on the minimal essential set of coincident points for set-valued mappings

Luo Qun

 Department of Mathematics, Zhaoqing University, Guangdong, Zhaoqing 526061, China
Received 12 May 2004; Revised 23 November 2004

Abstract

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).