A generalization of Hahn-Banach extension theorem

Jianwen Peng; Heung Wing Joseph Lee; Weidong Rong; Xinmin Yang

doi:10.1016/j.jmaa.2004.03.038

A generalization of Hahn-Banach extension theorem

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

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	441-449
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	302
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2004.03.038
Publication status	Published - 15 Feb 2005

Keywords

Affinelike
Hahn-Banach extension theorem
Set-valued map

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2004.03.038

Cite this

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title = "A generalization of Hahn-Banach extension theorem",

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.",

keywords = "Affinelike, Hahn-Banach extension theorem, Set-valued map",

author = "Jianwen Peng and Lee, \{Heung Wing Joseph\} and Weidong Rong and Xinmin Yang",

year = "2005",

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AU - Peng, Jianwen

AU - Lee, Heung Wing Joseph

AU - Rong, Weidong

AU - Yang, Xinmin

PY - 2005/2/15

Y1 - 2005/2/15

N2 - 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.

AB - 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.

KW - Affinelike

KW - Hahn-Banach extension theorem

KW - Set-valued map

UR - https://www.scopus.com/pages/publications/10644292371

U2 - 10.1016/j.jmaa.2004.03.038

DO - 10.1016/j.jmaa.2004.03.038

M3 - Journal article

SN - 0022-247X

VL - 302

SP - 441

EP - 449

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A generalization of Hahn-Banach extension theorem

Abstract

Keywords

ASJC Scopus subject areas

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