Search Results - Optimality conditions for problems in abstract spaces

Optimality Conditions in DC-Constrained Mathematical Programming Problems by Correa, Rafael, López, Marco A., Pérez-Aros, Pedro

“…This paper provides necessary and sufficient optimality conditions for abstract-constrained mathematical programming problems in locally convex spaces under new qualification conditions…”
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Necessary Optimality Conditions for Interval Optimization Problems with Functional and Abstract Constraints by Villanueva, Fabiola Roxana, de Oliveira, Valeriano Antunes

“…This work addresses interval optimization problems in which the objective function is interval-valued while the constraints are given in functional and abstract forms…”
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Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces by Gfrerer, Helmut

“…In this paper we present a very general and unified theory of second-order optimality conditions for general optimization problems subject to abstract constraints in Banach spaces…”
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Necessary Optimality Conditions for a Class of Bilevel Problems: Necessary Optimality Conditions for a Class of Bilevel Problems by Abdel Wahab, Abdallah, Bettiol, Piernicola

“…This paper addresses a class of bilevel optimization problems involving an upper level problem which is a static optimization problem aimed at minimizing a first performance criterion over optimal trajectories…”
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Relative Pareto minimizers for multiobjective problems: existence and optimality conditions by Bao, Truong Q., Mordukhovich, Boris S.

“… of the subdifferential Palais-Smale condition for set-valued mappings with values in partially ordered spaces and then derive necessary optimality conditions for these minimizers…”
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Optimality Conditions and Duality in Nonsmooth Adjustable Robust Optimization Problems by Duy, Mai Van, Khanh, Phan Quoc, Tung, Nguyen Minh

“…In this paper, we consider nonsmooth adjustable robust optimization problems and necessary/sufficient conditions based on qualification conditions and generalized convexity concepts…”
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Optimality Conditions for Variational Problems in Incomplete Functional Spaces by Mohammadi, Ashkan, Mordukhovich, Boris S.

“…This paper develops a novel approach to necessary optimality conditions for constrained variational problems defined in generally incomplete subspaces of absolutely continuous functions…”
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Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems by Huyen, Duong Thi Kim, Kim, Do Sang, Yen, Nguyen Dong

“…First-order sufficient optimality conditions in terms of Lagrangian functions and Lagrange multipliers for nondifferentiable minimax programs and vector optimization problems in an Asplund space…”
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Boundary control problem and optimality conditions for the Cahn-Hilliard equation with dynamic boundary conditions by Colli, Pierluigi, Signori, Andrea

“… The existence of optimal control, the Fréchet differentiability of the control-to-state operator between appropriate Banach spaces, and the first-order necessary conditions for optimality are addressed…”
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Constrained Extremum Problems and Image Space Analysis–Part I: Optimality Conditions by Li, Shengjie, Xu, Yangdong, You, Manxue, Zhu, Shengkun

“…Image space analysis is a new tool for studying scalar and vector constrained extremum problems as well as generalized systems…”
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Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis by Xu, Yingrang, Li, Shengjie

“…In this article, optimality conditions on (weak) efficient solutions in multiobjective optimization problems are investigated by using the image space analysis…”
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Characterizations for Optimality Conditions of General Robust Optimization Problems by Wei, Hong-Zhi, Chen, Chun-Rong, Li, Sheng-Jie

“… to tackle with minimax problems. Furthermore, theorems of the robust weak alternative as well as sufficient characterizations of robust optimality conditions are achieved on the frame of the linear and nonlinear (regular…”
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Optimality conditions based on the Fréchet second-order subdifferential by An, D. T. V., Yen, N. D.

“…This paper focuses on second-order necessary optimality conditions for constrained optimization problems on Banach spaces…”
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Optimality conditions of robust convex multiobjective optimization via ε-constraint scalarization and image space analysis by Chen, Jiawei, Huang, La, Lv, Yibing, Wen, Ching-Feng

“…In this paper, we investigate robust optimality conditions of convex multiobjective optimization problems with data uncertainty by ε…”
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Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case by Gfrerer, Helmut

“…In this paper we derive second-order necessary conditions for optimality for an optimization problem with abstract constraints in Banach spaces…”
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Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications by Van Tuyen, Nguyen, Bae, Kwan Deok, Kim, Do Sang

“…This paper is devoted to the study of optimality conditions at infinity in nonsmooth minimax programming problems and their applications…”
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Optimality Conditions for Interval-Valued Optimization Problems on Riemannian Manifolds Under a Total Order Relation by Bhat, Hilal Ahmad, Iqbal, Akhlad, Aftab, Mahwash

“… The study employs generalized Hukuhara directional differentiability to derive KKT-type optimality conditions for an interval-valued optimization problem on Riemannian manifolds…”
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Necessary optimality conditions for nonsmooth robust optimization problems by Wei, Hong-Zhi, Chen, Chun-Rong, Li, Sheng-Jie

“…In this paper, we investigate robust necessary optimality for scalar uncertain optimization problems under the strictly robust counterpart, where the uncertainties are included in the objective and the constraints…”
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Second-Order Optimality Conditions for Infinite-Dimensional Quadratic Programs by An, Duong Thi Viet

“…Second-order necessary and sufficient optimality conditions for local solutions and locally unique solutions of generalized quadratic programming problems in Banach spaces are established in this paper…”
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Constraint Qualifications and Optimality Criteria for Nonsmooth Multiobjective Programming Problems on Hadamard Manifolds by Upadhyay, Balendu Bhooshan, Ghosh, Arnav, Treanţă, Savin

“…This article deals with a class of constrained nonsmooth multiobjective programming problems (NMOPP…”
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