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Your search keyword '"Lee, Heung Wing Joseph"' showing total 3 results
Start Over Author "Lee, Heung Wing Joseph" Topic set-valued map
3 results on '"Lee, Heung Wing Joseph"'

2. Hahn-Banach theorems and subgradients of set-valued maps.

Author

Jian Wen Peng, Lee, Heung Wing Joseph, Wei Dong Rong, and Xin Min Yang

Subjects
INTEGRAL theorems, SCALAR field theory, VECTOR-valued measures, SET theory, LAGRANGE equations
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2005
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3. A generalization of Hahn–Banach extension theorem

Author

Peng, Jianwen, Lee, Heung Wing Joseph, Rong, Weidong, and Yang, Xinmin

Subjects
*SET theory, *SET-valued maps, *MATHEMATICAL mappings, *CONVEX sets
Abstract

In this paper, the notion of affinelike set-valued maps is introduced and some properties of these maps are presented. Then a new Hahn–Banach extension theorem with a K-convex set-valued map dominated by an affinelike set-valued map is obtained. [Copyright &y& Elsevier]

Published
2005
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