Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces

DOI10.1016/j.camwa.2007.08.028zbMath1138.49010OpenAlexW2054386376MaRDI QIDQ2425459

Lucelina Batista Dos Santos, Gabriel Ruiz-Garzón, Antonio Rufián-Lizana, Marko A. Rojas-Medar

Publication date: 5 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.08.028

zbMATH Keywords

Banach spacesvariational-like inequality problemweak efficiencyvectorial optimization problempseudoinvex functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Variational inequalities (49J40)

Related Items (10)

Efficiency through variational-like inequalities with Lipschitz functions ⋮ Some relations between minty variational-like inequality problems and vectorial optimization problems in Banach spaces ⋮ On vector variational-like inequalities and set-valued optimization problems ⋮ On vector variational \(E\)-inequalities and differentiable vector optimization problem ⋮ On set-valued optimization problems and vector variational-like inequalities ⋮ Exponential type vector variational-like inequalities and nonsmooth vector optimization problems ⋮ A class of generalized invex functions and vector variational-like inequalities ⋮ On the solution existence of variational-like inequalities problems for weakly relaxed \(\eta-\alpha\) monotone mapping ⋮ Existence of solutions for generalized vector quasi-variational-like inequalities without monotonicity ⋮ Vector critical points and efficiency in vector optimization with Lipschitz functions

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Exchange price equilibria and variational inequalities
• Invex functions and generalized convexity in multiobjective programming
• On vector variational inequalities: Application to vector equilibria
• Some remarks on vector optimization problems
• Generalized invex monotonicity
• Relationships between vector variational-like inequality and optimization problems
• Vector variational-like inequalities and non-smooth vector optimization problems
• On vector variational-like inequality problems
• A variational-like inequality problem
• Lagrangean conditions and quasiduality
• Convex programming and variational inequalities
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