Vector-valued separation functions and constrained vector optimization problems: optimality and saddle points
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Publication:781077
DOI10.3934/jimo.2018174zbMath1449.49011OpenAlexW2906979947WikidataQ128663601 ScholiaQ128663601MaRDI QIDQ781077
Sheng Jie Li, Jen-Chih Yao, Jia-wei Chen
Publication date: 16 July 2020
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2018174
saddle pointoptimality conditionimage space analysisconstrained vector optimization problemnonlinear vector-valued separation function
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Cites Work
- On maximum and variational principles via image space analysis
- Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities
- A proximal point algorithm based on decomposition method for cone constrained multiobjective optimization problems
- Unified duality theory for constrained extremum problems. I: Image space analysis
- Unified duality theory for constrained extremum problems. II: Special duality schemes
- Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria
- Vector variational-like inequalities with constraints: separation and alternative
- Multiobjective optimization problems with modified objective functions and cone constraints and applications
- Nonlinear separation approach for the augmented Lagrangian in nonlinear semidefinite programming
- Erratum: Separation of sets and Wolfe duality
- Separation of sets and Wolfe duality
- Image space analysis for vector variational inequalities with matrix inequality constraints and applications
- Semidifferentiable functions and necessary optimality conditions
- Variational methods in partially ordered spaces
- Vector variational inequalities and vector equilibria. Mathematical theories
- Separations and optimality of constrained multiobjective optimization via improvement sets
- On the image space analysis for vector variational inequalities
- Theorems of the alternative and optimality conditions
- Nonlinear separation approach to constrained extremum problems
- Characterizations of efficient and weakly efficient points in nonconvex vector optimization
- Vector quasi-equilibrium problems: separation, saddle points and error bounds for the solution set
- Semicontinuity of approximate solution mappings to generalized vector equilibrium problems
- A separation approach to vector quasi-equilibrium problems: saddle point and gap function
- Nonlinear separation functions and constrained extremum problems
- On the theory of Lagrangian duality
- Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
- Nonlinear separation in the image space with applications to penalty methods
- Gap functions and error bounds for weak vector variational inequalities
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