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检索条件"主题词=coderivative"
115 条 记 录,以下是41-50 订阅
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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
来源: 评论
GENERALIZED METRIC SUBREGULARITY AND REGULARITY WITH RESPECT TO AN ADMISSIBLE FUNCTION
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SIAM JOURNAL ON OPTIMIZATION 2016年 第1期26卷 535-563页
作者: Zheng, Xi Yin Zhu, Jiangxing Yunnan Univ Dept Math Kunming 650091 Peoples R China Chinese Univ Hong Kong Hong Kong Hong Kong Peoples R China
In this paper, adopting an admissible function phi, we consider a kind of generalized metric subregularity/regularity of a multifunction F with respect to phi, which is a natural generalization of the Holder metric re... 详细信息
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A general metric regularity in Asplund Banach spaces
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 1998年 第3-4期19卷 215-226页
作者: Amahroq, T Jourani, A Thibault, L Fac Sci & Tech Dept Math Marrakech Morocco Univ Bourgogne Lab Anal Appl & Optimisat F-21011 Dijon France Univ Montpellier 2 Dept Math Sci F-34095 Montpellier 5 France
This paper establishes a simple and easily-applied criterion for determining whether a multivalued mapping is metrically regular relatively to a subset in the range space.
来源: 评论
Holder-Like Property and Metric Regularity of a Positive-Order for Implicit Multifunctions
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MATHEMATICS OF OPERATIONS RESEARCH 2016年 第2期41卷 596-611页
作者: Thai Doan Chuong Do Sang Kim Saigon Univ Dept Math & Applicat Ho Chi Minh City Vietnam Pukyong Natl Univ Dept Appl Math Busan 608737 South Korea
We introduce concepts of metric regularity and metric subregularity of a positive-order for an implicit multifunction and provide new sufficient conditions for the implicit multifunctions to achieve the addressed prop... 详细信息
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METRIC SUBREGULARITY AND CALMNESS FOR NONCONVEX GENERALIZED EQUATIONS IN BANACH SPACES
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SIAM JOURNAL ON OPTIMIZATION 2010年 第5期20卷 2119-2136页
作者: Zheng, Xi Yin Ng, Kung Fu Yunnan Univ Dept Math Kunming 650091 Peoples R China Chinese Univ Hong Kong Dept Math Shatin Hong Kong Peoples R China Chinese Univ Hong Kong IMS Shatin Hong Kong Peoples R China
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or necessary conditions for a generalized equ... 详细信息
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On the fuzzy intersection rule
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2012年 第3期75卷 1623-1634页
作者: Wang, Bingwu Wang, Dong Eastern Michigan Univ Dept Math Ypsilanti MI 48197 USA Fayetteville State Univ Dept Math & Comp Sci Fayetteville NC 28301 USA
The paper provides a complete exposition of the fuzzy intersection rule in variational analysis and its applications to generalized differentiation theory. New forms of the rule and further applications are presented.... 详细信息
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BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity
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SET-VALUED AND VARIATIONAL ANALYSIS 2014年 第4期22卷 747-762页
作者: Huang, Liyun He, Qinghai Wei, Zhou Qujing Normal Univ Sch Math & Informat Sci Qujing 655011 Yunnan Province Peoples R China Yunnan Univ Dept Math Kunming 650091 Peoples R China
In this paper, based on basic constraint qualification (BCQ) and strong BCQ for convex generalized equation, we are inspired to further discuss constraint qualifications of BCQ and strong BCQ for nonconvex generalized... 详细信息
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Metric subregularity for proximal generalized equations in Hilbert spaces
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2012年 第3期75卷 1686-1699页
作者: Zheng, Xi Yin Ng, Kung-Fu Yunnan Univ Dept Math Kunming 650091 Peoples R China Chinese Univ Hong Kong Dept Math Shatin Hong Kong Peoples R China Chinese Univ Hong Kong IMS Shatin Hong Kong Peoples R China
In this paper, we introduce and consider the concept of the prox-regularity of a multifunction. We mainly study the metric subregularity of a generalized equation defined by a proximal closed multifunction between two... 详细信息
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Stability for trust-region methods via generalized differentiation
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JOURNAL OF GLOBAL OPTIMIZATION 2014年 第1期59卷 139-164页
作者: Nguyen Thanh Qui Can Tho Univ Coll Informat & Commun Technol Can Tho Vietnam
We obtain necessary and sufficient conditions for local Lipschitz-like property and sufficient conditions for local metric regularity in Robinson's sense of Karush-Kuhn-Tucker point setmaps of trust-region subprob... 详细信息
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Solving Ill-posed Bilevel Programs
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SET-VALUED AND VARIATIONAL ANALYSIS 2016年 第3期24卷 423-448页
作者: Zemkoho, Alain B. Univ Southampton Sch Math Southampton SO17 1BJ Hants England
This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this pr... 详细信息
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