New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces
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Publication:1653353
DOI10.1007/s10288-017-0360-4zbMath1393.90133OpenAlexW2766639939MaRDI QIDQ1653353
Publication date: 3 August 2018
Published in: 4OR (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10288-017-0360-4
optimality conditionsweakly efficient solutionsstable functionsglobally efficient solutionscontingent derivativesHenig efficient solutionssteady functionssuperefficient solutionsunconstrained vector equilibrium problem
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) General equilibrium theory (91B50)
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Cites Work
- Unnamed Item
- Unnamed Item
- Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications
- Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints
- Characterizations of solutions for vector equilibrium problems
- Scalarization and optimality conditions for vector equilibrium problems
- About contingent epiderivatives
- A generalized derivative for calm and stable functions
- Vector equilibrium problems with generalized monotone bifunctions
- On optimality conditions for vector variational inequalities
- Optimality conditions for vector equilibrium problems with constraints
- Efficient solutions and optimality conditions for vector equilibrium problems
- Optimality conditions for vector equilibrium problems
- Contingent derivatives of set-valued maps and applications to vector optimization
- Variational characterization of the contingent epiderivative
- EXISTENCE AND DUALITY OF IMPLICIT VECTOR VARIATIONAL PROBLEMS*
- Optimality conditions for vector equilibrium problems in normed spaces
- Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives
- First order optimality conditions in vector optimization involving stable functions
- Set-valued analysis
- Efficiency and Henig efficiency for vector equilibrium problems.
- Existence of a solution and variational principles for vector equilibrium problems