Výsledky vyhledávání - approximate coderivative~

Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems Autor Ha, Truong Xuan Duc

“…We present a new approach to the study of a set-valued equilibrium problem (for short, SEP) through the study of a set-valued optimization problem with a…”
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The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions Autor Jourani, A., Thibault, L.

“…We apply our notion of metric graphical regularity in the study of the approximate subdifferential of a composition function defined on a finite dimensional…”
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Lagrange Multiplier Rules for Weak Approximate Pareto Solutions of Constrained Vector Optimization Problems in Hilbert Spaces Autor Zheng, Xi Yin, Li, Runxin

“…In the Hilbert space case, in terms of proximal normal cone and proximal coderivative, we establish a Lagrange multiplier rule for weak approximate Pareto solutions of constrained vector optimization problems…”
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Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings Autor Jourani, A, Thibault, L

“…This paper establishes by a general approach a full calculus for the limiting Fréchet and the approximate coderivatives of multivalued mappings…”
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On the Dini–Hadamard-like coderivative of the difference of two single-valued mappings Autor Baias, Alina Ramona, Kerekes, Delia Maria

“…In this paper we obtain a difference rule for the Dini–Hadamard-like coderivative involving spongiously Lipschitz and strongly spongiously continuous mappings…”
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Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems Autor Long, X. J., Li, X. B., Zeng, J.

“… By a scalarization function introduced by Tammer and Weidner (J Optim Theory Appl 67:297–320, 1990 ), we obtain the Lagrangian condition for approximate solutions on set-valued optimization problems in terms of the Mordukhovich coderivative…”
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Optimality Conditions for Approximate Pareto Minimality Autor Durea, Marius

“…In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in literature for the situation of standard vector efficiency…”
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Variational Analysis of Paraconvex Multifunctions Autor Van Ngai, Huynh, Tron, Nguyen Huu, Van Vu, Nguyen, Théra, Michel

“… by A. Jourani and some others authors. We establish some regular properties of graphical tangent and normal cones to paraconvex multifunctions between Banach spaces as well as a sum rule for coderivatives for such class of multifunctions…”
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Coderivatives of multivalued mappings, locally compact cones and metric regularity Autor Jourani, A., Thibault, L.

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On the theory of subdifferentials Autor Ioffe Alexander D.

“…The theory presented in the paper consists of two parts. The first is devoted to basic concepts and principles such as the very concept of a subdifferential,…”
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A survey of subdifferential calculus with applications Autor Borwein, Jonathan M., Zhu, Qiji J.

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Stability properties of KKT points in vector optimization Autor Durea, M., Dutta, J., Tammer, Chr

“…In this article we introduce the notion of approximate Karush-Kuhn-Tucker (KKT) points for smooth, convex and nonsmooth, nonconvex vector optimization problems…”
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Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces Autor Mordukhovich, Boris S., Shao, Yongheng, Zhu, Qiji

“… We study the so-called viscosity coderivatives of multifunctions and their limiting behavior under certain geometric assumptions on spaces in question related to the existence of smooth bump functions of any kind…”
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The Ekeland variational principle for Henig proper minimizers and super minimizers Autor Ha, Truong Xuan Duc

“…In this paper we consider, for the first time, approximate Henig proper minimizers and approximate super minimizers of a set-valued map F with values in a partially ordered vector space and formulate…”
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Optimization of Higher-Order Differential Inclusions with Special Boundary Value Conditions Autor Mahmudov, Elimhan N.

“… And to construct an Euler–Lagrange-type inclusion, a locally adjoint mapping is used, which is closely related to the coderivative concept of Mordukhovich…”
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DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS Autor IOFFE, A.D.

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Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures Autor Hu, Chunhai, Zhu, Jiangxing

“…In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures…”
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Cooperative behavior of functions, relations and sets Autor Penot, Jean-Paul

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A general metric regularity in asplund banach spaces Autor Amahroq, T., Jourani, A., Thibault, L.

“…This paper establishes a simple and easily-applied criterion for determining whether a multivalued mapping is metrically regular relatively to a subset in the…”
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Optimization of the Dirichlet problem for gradient differential inclusions Autor Mahmudov, Elimhan N., Mastaliyeva, Dilara

“… To optimize the posed continuous gradient DFIs, a passage to the limit is required in the discrete-approximate problem…”
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