A note on the minimal essential set of coincident points for set-valued mappingsReport as inadecuate




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Journal of Applied Mathematics and Stochastic Analysis - Volume 2005 2005, Issue 2, Pages 89-95

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.

Abstract

Motivated by the ideas of Kinoshita, we introduce the concept ofminimal essential set of the coincident points for set-valuedmappings, and we prove that there exists at least one minimalessential set and one essential component of the coincident pointsfor set-valued mappings satisfying some conditions.





Author: Luo Qun

Source: https://www.hindawi.com/



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