A note on Minty type vector variational inequalities

DOI10.1051/ro:2006005zbMath1145.49002OpenAlexW2131231955MaRDI QIDQ5439392

Ivan Ginchev, Matteo Rocca, Giovanni Paolo Crespi

Publication date: 11 February 2008

Published in: RAIRO - Operations Research (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RO_2005__39_4_253_0

zbMATH Keywords

vector optimizationexistence of solutionsincreasing-along-rays propertyMinty vector variational inequality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Nonsmooth analysis (49J52) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

On variational inequalities using directional convexificators ⋮ Multiobjective variational problems and generalized vector variational-type inequalities ⋮ Unnamed Item ⋮ Strict feasibility and stable solvability of bifunction variational inequalities ⋮ Some remarks on the Minty vector variational principle ⋮ Vector optimization problems with quasiconvex constraints ⋮ A non-smooth version of Minty variational principle ⋮ Existence of solutions of Minty type scalar and vector variational inequalities

Cites Work

• Generalized convex functions and vector variational inequalities
• Minty vector variational inequality, efficiency and proper efficiency
• Minty variational inequalities, increase-along-rays property and optimization
• An Existence Theorem in Vector Optimization
• Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis
• Degrees of Efficiency and Degrees of Minimality
• A Generalized Convexity and Variational Inequality for Quasi-Convex Minimization
• On the generalization of a direct method of the calculus of variations
• Higher order optimality conditions in nonsmooth vector optimization
• Abstract convexity and global optimization
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