Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces

DOI10.1007/978-981-33-6647-3_18zbMath1473.47039OpenAlexW3158619629MaRDI QIDQ4956886

Dinh Huy Hoang, Nguyen Van Hung, Vo Minh Tam, Yeol Je Cho

Publication date: 2 September 2021

Published in: Advances in Metric Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-33-6647-3_18

zbMATH Keywords

convergence analysiscontinuous convergencePainlevé-Kuratowski convergencegap functionMinty vector quasivariational inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• Stability of approximate solution mappings for generalized Ky Fan inequality
• Stability analysis for parametric generalized vector quasi-variational-like inequality problems
• Stability and scalarization in vector optimization using improvement sets
• Painlevé-Kuratowski convergences of the solution sets to perturbed generalized systems
• Gap functions for quasi-equilibria
• Stability analysis for Minty mixed variational inequality in reflexive Banach spaces
• On the solution semicontinuity to a parametric generalized vector quasivariational inequality
• The lower semicontinuity of optimal solution sets
• Stability of solution mappings for parametric bilevel vector equilibrium problems
• Stability of weak vector variational inequality
• Painlevé-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities
• Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
• Solution semicontinuity of parametric generalized vector equilibrium problems
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Convergence of the efficient sets
• Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints
• Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems
• Gap functions and Hausdorff continuity of solution mappings to parametric strong vector quasiequilibrium problems
• On the stability of the solution mapping for parametric traffic network problems
• Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems
• Gap functions and error bounds for variational-hemivariational inequalities
• Regularized gap functions and error bounds for generalized mixed weak vector quasivariational inequality problems in fuzzy environments
• A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds
• Generalized Levitin-Polyak well-posedness for controlled systems of FMQHI-fuzzy mixed quasi-hemivariational inequalities of Minty type
• Convergence analysis of solution sets for fuzzy optimization problems
• A new class of generalized multiobjective games in bounded rationality with fuzzy mappings: structural \((\lambda, \varepsilon)\)-stability and \((\lambda, \varepsilon)\)-robustness to \(\varepsilon\)-equilibria
• A unifying approach to constrained and unconstrained optimal reinsurance
• On the existence and stability of approximate solutions of perturbed vector equilibrium problems
• Vector optimization. Set-valued and variational analysis.
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Semicontinuity for parametric Minty vector quasivariational inequalities in Hausdorff topological vector spaces
• Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
• ON THE LOWER SEMICONTINUITY OF THE SOLUTION SETS FOR PARAMETRIC GENERALIZED VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMS
• Variational Analysis
• Stability for convex vector optimization problems
• On the lower semicontinuity of optimal solution sets
• Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems
• Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds
• Stability in vector-valued and set-valued optimization

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