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检索条件"主题词=coderivative"
115 条 记 录,以下是101-110 订阅
Variants of the Ekeland Variational Principle for a set-valued map involving the Clarke normal cone
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2006年 第1期316卷 346-356页
作者: Ha, TXD Inst Math Hanoi 10307 Vietnam
In this paper we present two set-valued variants of the Ekeland variational principle involving the Clarke normal cone and establish sufficient conditions for a set-valued map to have a weak minimizer or a properly po... 详细信息
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The Fermat rule for multifunctions on Banach spaces
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MATHEMATICAL PROGRAMMING 2005年 第1期104卷 69-90页
作者: Zheng, XY Ng, KF Yunnan Univ Dept Math Kunming 650091 Peoples R China Chinese Univ Hong Kong Dept Math Shatin Hong Kong Peoples R China
Using variational analysis, we study vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In particular, in terms of the coderivatives, we present Fermat'... 详细信息
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The Ekeland variational principle for set-valued maps involving coderivatives
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2003年 第2期286卷 509-523页
作者: Ha, TXD Inst Math Hanoi 10307 Vietnam
In this paper we use the Frechet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for set-valued optimization p... 详细信息
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Cosmically Lipschitz set-valued mappings
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SET-VALUED ANALYSIS 2002年 第4期10卷 331-360页
作者: Galbraith, GN Univ Calif Davis Davis CA 95616 USA
This paper introduces a kind of sub-Lipschitz continuity for set-valued mappings based on the cosmic metric. This type of Lipschitz behavior has applications with regards to necessary optimality conditions, the Hamilt... 详细信息
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A subdifferential condition for calmness of multifunctions
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2001年 第1期258卷 110-130页
作者: Henrion, R Outrata, J Karl Weierstrass Inst Math D-10117 Berlin Germany Acad Sci Czech Republ Inst Informat Theory & Automat CR-18208 Prague Czech Republic
A condition ensuring calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich. The considered class comprises general constraint... 详细信息
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A generalized mathematical program with equilibrium constraints
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2000年 第5期38卷 1623-1638页
作者: Outrata, JV Acad Sci Czech Republ Inst Informat Theory & Automat CR-18208 Prague Czech Republic
The paper concerns an optimization problem with a generalized equation among the constraints. This model includes standard mathematical programs with parameter-dependent variational inequalities or complementarity pro... 详细信息
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coderivatives of multivalued mappings, locally compact cones and metric regularity
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1999年 第7期35卷 925-945页
作者: Jourani, A Thibault, L Univ Bourgogne F-21011 Dijon France Univ Montpellier 2 Lab Anal Convexe F-34095 Montpellier 5 France
An abstract subdifferential was employed to obtain a verifiable criterion for metric regularity of infinite dimensional multivalued mappings, satisfying the given convergence condition, and to study some important pro... 详细信息
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Another characterization of convexity for set-valued maps
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 1999年 第3-4期20卷 341-351页
作者: Sach, PH Hanoi Inst Math Hanoi Vietnam
We give a new necessary and sufficient condition for convexity of a set-valued map F between Banach spaces. It is established for a closed map F having nonconvex values. The main tool in this paper is the coderivative... 详细信息
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Nonsingularity conditions for multifunctions
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SET-VALUED ANALYSIS 1999年 第1期7卷 89-99页
作者: Levy, AB Bowdoin Coll Dept Math Brunswick ME 04011 USA
We discuss three different characterizations of continuity properties for general multifunctions S : R-d double right arrow R-n. Each of these characterizations is given by the same simple nonsingularity condition, bu... 详细信息
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Compactness properties, openness criteria and coderivatives
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SET-VALUED ANALYSIS 1998年 第4期6卷 363-380页
作者: Penot, JP Univ Pau & Pays Adour CNRS URA 1204 Fac Sci F-64000 Pau France
We study the local surjectivity and openness properties of mappings and correspondences by using coderivatives. We recall local criteria but concentrate on point criteria. Our study relies on a compactness condition w... 详细信息
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