Painlevé-Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with application to controlling traffic networks under uncertainty

DOI10.1007/s40314-021-01415-8zbMath1461.90133OpenAlexW3125634883MaRDI QIDQ2027724

Nguyen Van Hung, André A. Keller

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01415-8

zbMATH Keywords

Painlevé-Kuratowski convergenceexistence conditionsKakutani-Fan-Glicksberg fixed-point theoremcontrol systems of fuzzy traffic network problemscontrol systems of fuzzy vector quasi-optimization problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Related Items

Existence and generic stability conditions of equilibrium points to controlled systems for \(n\)-player multiobjective generalized games using the Kakutani-Fan-Glicksberg fixed-point theorem, Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations, Quasi-Newton algorithms for solving interval-valued multiobjective optimization problems by using their certain equivalence, Optimal control of generalized multiobjective games with application to traffic networks modeling, Error bound analysis for split weak vector mixed quasi-variational inequality problems in fuzzy environment, Existence results and equilibrium stability conditions to fuzzy \(n\)-player generalized multiobjective games with application to economic equilibrium models, Algorithms for the Pareto solution of the multicriteria traffic equilibrium problem with capacity constraints of arcs, LP well-posed controlled systems for bounded quasi-equilibrium problems and their application to traffic networks, Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone, Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints, Generalized well-posedness for parametric fuzzy generalized multiobjective games

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