Hahn-Banach theorems and subgradients of set-valued maps

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

Mathematical Methods of Operations Research, 2005, vol. 61, issue 2, 297 pages

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. Copyright Springer-Verlag 2005

Keywords: Hahn-Banach theorem; Set-valued map; Subgradient; Lagrange multiplier theorem; Sandwich theorem; 54C60; 54C20; 49J52 (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s001860400397

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