A study of generalized vector variational inequalities via vector optimization problems

DOI10.1007/s10013-017-0257-8zbMath1383.49025OpenAlexW2755422030MaRDI QIDQ684038

Elena-Andreea Florea, Marius Durea

Publication date: 9 February 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-017-0257-8

zbMATH Keywords

vector optimizationpenalizationvector variational inequalitiesfixed and variable ordering structuresnecessary existence conditions

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Set-valued and variational analysis (49J53)

Related Items (1)

Cone-compactness of a set and applications to set-equilibrium problems

Cites Work

• Unnamed Item
• Unnamed Item
• Vector quasi-equilibrium problems for the sum of two multivalued mappings
• Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications
• An existence result for quasiequilibrium problems in separable Banach spaces
• The exact penalty principle
• Existence conditions for generalized vector variational inequalities
• Codifferential calculus
• Compactness properties, openness criteria and coderivatives
• Cooperative behavior of functions, relations and sets
• Nonlinear eigenvalue problems governed by a variational inequality of von Karman's type: A degree theoretic approach
• Vector variational inequalities and vector equilibria. Mathematical theories
• Quadratic programming and affine variational inequalities. A qualitative study.
• Variational inclusions for contingent derivative of set-valued maps
• Metric regularity of composition set-valued mappings: metric setting and coderivative conditions
• On optimality conditions for vector variational inequalities
• Metric regularity of the sum of multifunctions and applications
• Henig proper efficiency in vector optimization with variable ordering structure
• On set-valued optimization problems with variable ordering structure
• Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces
• Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure
• On some Fermat rules for set-valued optimization problems
• A converse to the Lions-Stampacchia Theorem
• Optimization and nonsmooth analysis
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Generalized penalization and maximization of vectorial nonsmooth functions
• Set-valued Optimization
• The Lagrange Multiplier Rule for Multifunctions in Banach Spaces

This page was built for publication: A study of generalized vector variational inequalities via vector optimization problems