On vector variational inequalities

DOI10.1007/BF02191741zbMath0827.47050MaRDI QIDQ5917656

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Publication date: 27 November 1995

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

zbMATH Keywords

KKM theoremvector variational inequalityexistence of solutions with and without convexity assumptions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20)

Related Items (41)

Vector variational inequality as a tool for studying vector optimization problems ⋮ Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces ⋮ Set variational inequalities ⋮ Implicit vector equilibrium problems with applications ⋮ Well-posedness of generalized vector quasivariational inequality problems ⋮ On implicit vector equilibrium problems. ⋮ On vector variational \(E\)-inequalities and differentiable vector optimization problem ⋮ Strong vector equilibrium problems ⋮ Generalized vector version of Minty's lemma and applications. ⋮ The generalized vector quasi-variational-like inequalities ⋮ The existence theorems of solutions for generalized vector-valued variational-like inequalities ⋮ Some generalized vector variational inequalities and complementarity problems for multivalued mappings ⋮ Implicit vector equilibrium problems via nonlinear scalarisation ⋮ A Note On Generalized Vector Variational-Like Inequalities ⋮ An existence result for the generalized vector equilibrium problem ⋮ Connectedness of the solution sets and scalarization for vector equilibrium problems ⋮ Existence of solutions for abstract economic equilibrium problems and algorithm ⋮ System of generalized implicit vector quasivariational inequalities ⋮ Efficiency and Henig efficiency for vector equilibrium problems. ⋮ On system of generalized vector variational inequalities ⋮ Optimality conditions for vector equilibrium problems ⋮ Existence theorems for generalized vector variational inequalities with a variable ordering relation ⋮ On the stability of generalized vector quasivariational inequality problems ⋮ Strong vector variational inequalities in Banach spaces ⋮ Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping ⋮ A nonlinear scalarization function and generalized quasi-vector equilibrium problems ⋮ On vector variational inequalities in reflexive Banach spaces ⋮ Strong vector \(F\)-complementary problem and least element problem of feasible set ⋮ On Generalized Vector Quasi-Variational Inequalities ⋮ Implicit vector quasi-equilibrium problems with applications to variational inequalities ⋮ Generalized Vector Variational Inequalities in Topological Vector Spaces ⋮ A vector version of Minty's lemma and applications ⋮ Generalized vector variational inequality and its duality for set-valued maps ⋮ Existence of solutions for vector optimization problems ⋮ Generalized vector quasi-variational-like inequalities ⋮ System of generalised set-valued quasi-variational-like inequalities ⋮ Existences of solution for the implicit multi-valued vector equilibrium problem ⋮ Certain Areas of Industrial and Applied Mathematics ⋮ On implicit vector variational inequalities ⋮ Vector variational-type inequalities for set-valued mappings ⋮ Gap functions and existence of solutions to generalized vector variational inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• A generalization of Tychonoff's fixed point theorem
• General variational inequalities
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
• On some non-linear elliptic differential functional equations
• Ordered linear spaces
• Continuousization of the family of point-to-set maps and its applications

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