Some remarks on the Minty vector variational inequality

From MaRDI portal
Publication:704759

DOI10.1023/B:JOTA.0000026137.18526.7azbMath1140.90492OpenAlexW2053822072MaRDI QIDQ704759

Xiao Qi Yang, Kok Lay Teo, Yang, Xinmin

Publication date: 19 January 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jota.0000026137.18526.7a




Related Items (46)

Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spacesRETRACTED ARTICLE: ``On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spacesOn Minty variational principle for nonsmooth vector optimization problems with approximate convexityApplying set optimization to weak efficiencyGeneralized vector variational-like inequalities and nonsmooth vector optimization problemsGeneralized Minty vector variational-like inequalities and vector optimization problemsHölder continuity of perturbed solution set for convex optimization problemsVector Optimization Problems and Generalized Vector Variational-Like InequalitiesOn vector variational-like inequalities and vector optimization problems with \(\left ({G,\alpha} \right)\)-invexityHadamard well-posedness of a general mixed variational inequality in Banach spaceDifferential properties and optimality conditions for generalized weak vector variational inequalitiesSome relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiencyExpected residual minimization formulation for a class of stochastic vector variational inequalitiesStability analysis for Minty mixed variational inequality in reflexive Banach spacesTopological Approaches for Vector Variational Inequality ProblemsSome relations between minty variational-like inequality problems and vectorial optimization problems in Banach spacesGeneralized Minty vector variational-like inequalities and vector optimization problems in Asplund spacesNonemptiness and compactness of solutions set for nondifferentiable multiobjective optimization problemsGeneralized vector variational-like inequalities and vector optimizationVector variational-like inequalities with generalized bifunctions defined on nonconvex setsOn set-valued optimization problems and vector variational-like inequalitiesVector optimization problem and generalized convexitySome remarks on the Minty vector variational principleOn nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentialsOn local quasi efficient solutions for nonsmooth vector optimization problemsVariational inequalities characterizing weak minimality in set optimizationParametric well-posedness for variational inequalities defined by bifunctionsVector variational-like inequalities and vector optimization problems in Asplund spacesNonsmooth vector optimization problems and Minty vector variational inequalitiesRobust weighted expected residual minimization formulation for stochastic vector variational inequalitiesOn the nonemptiness and compactness of the solution sets for vector variational inequalitiesOn solution sets for affine vector variational inequalityContinuity results and error bounds on pseudomonotone vector variational inequalities via scalarizationOn Minty vector variational-like inequalitySet Optimization Meets Variational InequalitiesEstimates of approximate solutions and well-posedness for variational inequalitiesGap functions for vector variational inequalitiesOn the Applications of Nonsmooth Vector Optimization Problems to Solve Generalized Vector Variational Inequalities Using ConvexificatorsOn approximate starshapedness in multiobjective optimizationA non-smooth version of Minty variational principleVector variational-like inequality with pseudoinvexityExistence of the solution to variational inequality, optimization problem, and elliptic boundary value problem through revisited best proximity point resultsVector optimization and variational-like inequalitiesVector variational inequality with pseudoconvexity on Hadamard manifoldsGeneralized vector variational-like inequalities and vector optimization in Asplund spacesTopological variants of vector variational inequality problem



Cites Work


This page was built for publication: Some remarks on the Minty vector variational inequality