Nonconvex Separation Functional in Linear Spaces with Applications to Vector Equilibria
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Publication:5506690
DOI10.1137/16M1063575zbMath1471.90117MaRDI QIDQ5506690
J. L. Ródenas-Pedregosa, Tamaki Tanaka, César Gutiérrez, Vicente Novo Sanjurjo
Publication date: 13 December 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Programming in abstract spaces (90C48)
Related Items (28)
Levitin-Polyak well-posedness for vector optimization problems in linear spaces ⋮ Robust Ekeland variational principles. Application to the formation and stability of partnerships ⋮ Some properties of generalized oriented distance function and their applications to set optimization problems ⋮ Optimal payoffs for directionally closed acceptance sets ⋮ Stability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarization ⋮ Exact and approximate vector Ekeland variational principles ⋮ Relationships between the oriented distance functional and a nonlinear separation functional ⋮ Vector optimization with domination structures: variational principles and applications ⋮ Some saddle-point theorems for vector-valued functions ⋮ Ekeland variational principles for set-valued functions with set perturbations ⋮ Vectorial Ekeland variational principle for cyclically antimonotone vector equilibrium problems ⋮ Ekeland variational principles for vector equilibrium problems ⋮ Necessary conditions for nondominated solutions in vector optimization ⋮ Ekeland Variational Principles in Vector Equilibrium Problems ⋮ Asymptotic analysis of scalarization functions and applications ⋮ Characterizations of robust optimality conditions via image space analysis ⋮ Scalarization in vector optimization with arbitrary domination sets ⋮ Set relations and weak minimal solutions for nonconvex set optimization problems with applications ⋮ A note on existence of weak efficient solutions for vector equilibrium problems ⋮ A scalarization scheme for binary relations with applications to set-valued and robust optimization ⋮ Ekeland variational principles involving set perturbations in vector equilibrium problems ⋮ Weak minimal elements and weak minimal solutions of a nonconvex set-valued optimization problem ⋮ Nonlinear separation approach to inverse variational inequalities in real linear spaces ⋮ Some properties of nonconvex oriented distance function and applications to vector optimization problems ⋮ Optimality conditions for vector optimization problems with non-cone constraints in image space ⋮ Vectorial form of Ekeland variational principle with applications to vector equilibrium problems ⋮ Scalarization functionals with uniform level sets in set optimization ⋮ A new tool for the investigation of extended real-valued functions
Cites Work
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- On generalized quasi-vector equilibrium problems via scalarization method
- A general vectorial Ekeland's variational principle with a P-distance
- Characterization of approximate solutions of vector optimization problems with a variable order structure
- Scalarization of \(\epsilon\)-super efficient solutions of set-valued optimization problems in real ordered linear spaces
- Nonconvex separation theorems and some applications in vector optimization
- Proper efficiency in vector optimization on real linear spaces.
- Scalarization and optimality conditions for vector equilibrium problems
- \(\epsilon \)-Henig proper efficiency of set-valued optimization problems in real ordered linear spaces
- Duality and saddle-points for convex-like vector optimization problems on real linear spaces
- Ekeland's principle for vector equilibrium problems
- New optimality principles for economic efficiency and equilibrium
- Vector equilibrium problems with generalized monotone bifunctions
- A generalization of vectorial equilibria
- A remark on vector-valued equilibria and generalized monotonicity
- Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness.
- Variational methods in partially ordered spaces
- Vector variational inequalities and vector equilibria. Mathematical theories
- Scalarizing vector optimization problems
- Scalarization of set-valued optimization problems with generalized cone subconvexlikeness in real ordered linear spaces
- The domination property for efficiency and Bishop-Phelps theorem in locally convex spaces
- Scalarization of approximate solution for vector equilibrium problems
- A pre-order principle and set-valued Ekeland variational principle
- Improvement sets and vector optimization
- Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior
- Vectorial variational principle with variable set-valued perturbation
- Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory
- \(\epsilon\)-optimality conditions of vector optimization problems with set-valued maps based on the algebraic interior in real linear spaces
- Explicitly quasiconvex set-valued optimization
- Vector optimization. Set-valued and variational analysis.
- Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions
- Vector Optimization
- A unified vector optimization problem: complete scalarizations and applications
- Lipschitz properties of the scalarization function and applications
- Dual Characterization and Scalarization for Benson Proper Efficiency
- SUBLINEAR OPERATORS AND THEIR APPLICATIONS
- Set-valued Optimization
- Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces
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