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《应用数学和力学(英文版)》 2002-01
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THE EXTENSION THEOREMS OF CONE LINEAR OPERATORS

SHENG Bao_huai , LIU San_yang , MAO Hua (Department of Applied Mathematics, Xidian University, Xi'an 710071, P R China)(Communicated by DING Xie_ping)  
A kind of cone separation theorems is established, by which the extension theorems for cone linear continuous operators are developed. As an application, the extension theorem for positive linear continuous operators is given.
【Fund】: theNationalNaturalScienceFoundationofChina ( 69972 0 3 6) ;theNaturalScienceFoundationofShanxiProvince ( 99SL0 2 )
【CateGory Index】: O177.2
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HUANG Long-guang (Hanshan Teachers College,Chaozhou Guangdong, 521041,Xidian University,Xi'an 710071 );Existence and characteristics of solutions for vector optimization problems[J];Pure and Applied Mathematics;2000-03
2 KUANG Hua-wu ( Dept. of Math.,Science Faculty of Guizhou Univ.,Guiyang 550025,China);Generalized optimality conditions of set-valued optimization problems with Benson proper efficiency[J];Applied Mathematics A Journal of Chinese Universities;2004-02
3 ZHANG Yong(College of Mathematics & Computer Science,Jishou university,Jishou 416000,China);Connectedness of Super-efficient Point Sets for Vector Optimization of nearly Convex-like Set-valued Maps[J];Journal of Hubei Institute for Nationalities(Natural Science Edition);2008-03
4 Sheng Baohuai Liu Sanyang Xiong Shengjun (Department of Applied Math, Xidian University, Xi'an 710071,China);THE GENERALIZED OPTIMALITY FRITZ-JOHN CONDITIONS OF VECTOR OPTIMIZATION OF SET-VALUED MAPS WITH WEAK BENSON PROPER EFFICIENCY[J];MATHEMATICS IN ECONOMICS;2000-01
5 Wang Cui(School of Mathematic Science,Suzhou Univ.,Suzhou 215006,China);Scalarizations of Benson proper efficiency in separable metric space[J];Journal of Suzhou University(Natural Science Edition);2008-03
6 ZHOU Zhi-ang (College of Mathematics and Statistics,Chongqing University of Technology,Chongqing 400054,China);The Equivalence of Borwein Properly Efficient Solution and Benson Properly Efficient Solution of Set-Valued Optimization Problem[J];Mathematics in Practice and Theory;2012-01
7 Huang Longguang (Department of Applied Mathematics, Xidian University, Xi'an 710071; Department of Basic Science, Jimei University, Xiamen 361021) Liu Sanyang (Department of Applied Mathematics, Xidian University, Xi'an 710071);CONE CHARACTERIZATIONS ABOUT PARETO, WEAK AND PROPER EFFICIENT POINTS[J];;2003-04
8 Li Maoqin (School of Mathematics and Information Engineering,Taizhou University,Zhejiang Linhai 317000; Department of Mathematics,Taiyuan Normal University,Taiyuan 030012);A New Representation of Efficient Point Sets and DEA Models[J];Acta Mathematica Scientia;2011-03
9 Qiu Jinghui Hao Yuan Wang Cui Department of Mathematics, Suzhou University, Suzhou 215006, China;SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY[J];数学物理学报(英文版);2010-04
10 ZHANG Yong(College of Mathematics and Computer Science,Jishou University,Jishou 416000,China);Connectedness of Super-Efficient Point Sets for Vector Optimization of nearly convex-like Set-Valued Maps[J];Journal of Xi'an University of Arts & Science(Natural Science Edition);2008-03
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