Open Access
2008 VERTICAL TANGENT VECTORS TO THE GRAPH OF A MULTIFUNCTION
N. D. Yen, Jen-Chih Yao
Taiwanese J. Math. 12(5): 1293-1302 (2008). DOI: 10.11650/twjm/1500574264

Abstract

The sets of vertical vectors in the contingent cone, the intermediate tangent cone and the Clarke tangent cone to the graph of a multifunction between normed spaces at a given point are estimated or computed by exact formulae under some suitable assumptions. The obtained results sharpen and complement the results of Dien and Yen [Acta Math., Vietnam. Vol. 10(1) (1985), 144-147] where the set of vertical vectors in the Clarke tangent cone was considered.

Citation

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N. D. Yen. Jen-Chih Yao. "VERTICAL TANGENT VECTORS TO THE GRAPH OF A MULTIFUNCTION." Taiwanese J. Math. 12 (5) 1293 - 1302, 2008. https://doi.org/10.11650/twjm/1500574264

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1154.49012
MathSciNet: MR2431896
Digital Object Identifier: 10.11650/twjm/1500574264

Subjects:
Primary: 49J53 , ‎54C60‎

Keywords: exact formula , graph , multifunction , upper estimation , vertical tangent vector

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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