Hahn-Banach theorems and subgradients of set-valued maps

Some new results which generalize the Hahn-Banach theorem from scalar or vector-valued case to set-valued case are obtained. The existence of the Borwein-strong subgradient and Yang-weak subgradient for set-valued maps are also proven. We present a new Lagrange multiplier theorem and a new Sandwich theorem for set-valued maps. Copyright Springer-Verlag 2005

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Year of publication:	2005
Authors:	Peng, Jian Wen ; Lee, Heung Wing Joseph ; Rong, Wei Dong ; Yang, Xin Min
Published in:	Computational Statistics. - Springer. - Vol. 61.2005, 2, p. 281-297
Publisher:	Springer
Subject:	Hahn-Banach theorem \| Set-valued map \| Subgradient \| Lagrange multiplier theorem \| Sandwich theorem

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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