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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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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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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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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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Holder metric subregularity for multifunctions in C2 type Banach spaces
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OPTIMIZATION 2016年 第11期65卷 1963-1982页
作者: Zhang, Binbin Ng, Kung-Fu Zheng, Xi Yin He, Qinghai Yunnan Univ Dept Math Kunming Peoples R China Chinese Univ Hong Kong Dept Math Hong Kong Hong Kong Peoples R China Chinese Univ Hong Kong IMS Hong Kong Hong Kong Peoples R China
Using the Borwein-Preiss variational principle and in terms of the proximal coderivative, we provide a new type of sufficient conditions for the Holder metric subregularity and Holder error bounds in a class of smooth... 详细信息
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Metric Subregularity for a Multifunction
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数学研究 2016年 第4期49卷 379-392页
作者: Xi Yin Zheng Department of Mathematics Yunnan University Kunming 650091 P.R.China
Metric subregularity is an important and active area in modem variational analysis and nonsmooth *** existing results on the metric suregularity were established in terms of coderivatives of the multifunctions *** not... 详细信息
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On the Convergence of coderivative of SAA Solution Mapping for a Parametric Stochastic Generalized Equation
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SET-VALUED AND VARIATIONAL ANALYSIS 2011年 第1期19卷 107-134页
作者: Zhang, Li-Wei Zhang, Jie Wu, Yue Dalian Univ Technol Sch Math Sci Inst ORCT Dalian 116024 Peoples R China Univ Southampton Sch Management Southampton SO17 1BJ Hants England
The aim of this paper is to investigate the convergence properties for Mordukhovich's coderivative of the solution map of the sample average approximation (SAA) problem for a parametric stochastic generalized equa... 详细信息
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coderivatives of a Karush-Kuhn-Tucker point set map and applications
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2014年 95卷 191-201页
作者: Lee, G. M. Yen, N. D. Pukyong Natl Univ Dept Appl Math Pusan 608737 South Korea Vietnam Acad Sci & Technol Inst Math Hanoi 10307 Vietnam
The problem of minimizing a linear-quadratic function over the Euclidean ball is encountered frequently in the theory of trust-region methods in nonlinear programming. By some tools from Variational Analysis, we inves... 详细信息
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Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations
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MATHEMATICS OF OPERATIONS RESEARCH 2015年 第3期40卷 703-724页
作者: Huynh Van Ngai Phan Nhat Tinh Univ Quy Nhon Dept Math Quy Nhon Vietnam Hue Univ Sci Dept Math Hue Vietnam
Metric subregularity and regularity of multifunctions are fundamental notions in variational analysis and optimization. Using the concept of strong slope, in this paper we first establish a criterion for metric subreg... 详细信息
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A note on the optimality condition for a bilevel programming
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2015年 第1期2015卷 1页
作者: Zhang, Jie Wang, Huan Sun, Yue Liaoning Normal Univ Sch Math Dalian 116029 Peoples R China Dalian Univ Technol Res Ctr Informat & Control Dalian 116024 Peoples R China
The equality type Mordukhovich coderivative rule for a solution mapping to a second-order cone constrained parametric variational inequality is derived under the constraint nondegenerate condition, which improves the ... 详细信息
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Metric regularity of a positive order for generalized equations
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APPLICABLE ANALYSIS 2015年 第6期94卷 1270-1287页
作者: Thai Doan Chuong Saigon Univ Dept Math & Applicat Ho Chi Minh City Vietnam
This paper focuses on the metric regularity of a positive order for generalized equations. More concretely, we establish verifiable sufficient conditions for a generalized equation to achieve the metric regularity of ... 详细信息
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