Monotone affine vector variational inequalities

DOI10.1080/02331934.2010.505650zbMath1237.90231OpenAlexW2074395742MaRDI QIDQ2996789

Nguyen Dong Yen, Jen-Chih Yao

Publication date: 3 May 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.505650

zbMATH Keywords

connectednessupper semicontinuityscalarizationsolution setaffine variational inequalityaffine vector variational inequalityupper-Lipschitz continuity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)

Related Items (16)

Connectedness structure of the solution sets of vector variational inequalities ⋮ An introduction to vector variational inequalities and some new results ⋮ Existence of solutions and error bound for vector variational inequalities in Banach spaces ⋮ Semicontinuity results on parametric vector variational inequalities with polyhedral constraint sets ⋮ Affine variational inequalities on normed spaces ⋮ On the numbers of connected components in the solution sets of polynomial vector variational inequalities ⋮ The Pascoletti-Serafini scalarization scheme and linear vector optimization ⋮ Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities ⋮ Numbers of the connected components of the solution sets of monotone affine vector variational inequalities ⋮ New results on proper efficiency for a class of vector optimization problems ⋮ An Application of the Tarski-Seidenberg Theorem with Quantifiers to Vector Variational Inequalities ⋮ Geoffrion's proper efficiency in linear fractional vector optimization with unbounded constraint sets ⋮ Continuity results and error bounds on pseudomonotone vector variational inequalities via scalarization ⋮ Polynomial Vector Variational Inequalities under Polynomial Constraints and Applications ⋮ A property of bicriteria affine vector variational inequalities ⋮ Improperly efficient solutions in a class of vector optimization problems

Cites Work

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• Bicriteria linear fractional programming
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• Continuousization of the family of point-to-set maps and its applications
• Continuity of the solution map in parametric affine variational inequalities
• Variational Inequalities over Perturbed Polyhedral Convex Sets
• Solution Continuity in Monotone Affine Variational Inequalities
• Connectedness in Multiple Linear Fractional Programming
• Generalized equations and their solutions, Part I: Basic theory
• Vector variational inequality as a tool for studying vector optimization problems
• A result on vector variational inequalities with polyhedral constraint sets

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