Vector Variational Inequalities and Vector Equilibria: Mathematical Theories

✍ Scribed by Qamrul Hasan Ansari (auth.), Franco Giannessi (eds.)

• Publisher: Springer US
• Year: 2000
• Tongue: English
• Leaves: 522
• Series: Nonconvex Optimization and Its Applications 38
• Edition: 1
• Category: Library

✦ Table of Contents

Front Matter....Pages i-xiv
Vector Equilibrium Problems and Vector Variational Inequalities....Pages 1-15
Generalized Vector Variational-Like Inequalities and their Scalarizations....Pages 17-37
Existence of Solutions for Generalized Vector Variational-Like Inequalities....Pages 39-53
On Gap Functions for Vector Variational Inequalities....Pages 55-72
Existence of Solutions for Vector Variational Inequalities....Pages 73-86
On the Existence of Solutions to Vector Complementarity Problems....Pages 87-95
Vector Variational Inequalities and Modelling of a Continuum Traffic Equilibrium Problem....Pages 97-111
Generalized Vector Variational-Like Inequalities without Monotonicity....Pages 113-124
Generalized Vector Variational-Like Inequalities with C x - η -Pseudomonotone Set-Valued Mappings....Pages 125-140
A Vector Variational-Like Inequality for Compact Acyclic Multifunctions and its Applications....Pages 141-151
On the Theory of Vector Optimization and Variational Inequalities. Image Space Analysis and Separation....Pages 153-215
Scalarization Methods for Vector Variational Inequality....Pages 217-232
Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces....Pages 233-252
The Existence of Essentially Connected Components of Solutions for Variational Inequalities....Pages 253-265
Existence of Solutions for Vector Saddle-Point Problems....Pages 267-275
Vector Variational Inequality as a Tool for Studying Vector Optimization Problems....Pages 277-305
Vector Variational Inequalities in a Hausdorff Topological Vector Space....Pages 307-320
Vector Ekeland Variational Principle....Pages 321-333
Convergence of Approximate Solutions and Values in Parametric Vector Optimization....Pages 335-350
On Minty Vector Variational Inequality....Pages 351-361
Generalized Vector Variational-Like Inequalities....Pages 363-369
On Vector Complementarity Systems and Vector Variational Inequalities....Pages 371-380
Generalized Vector Variational Inequalities....Pages 381-401
Vector Equilibrium Problems with Set-Valued Mappings....Pages 403-422
On Some Equivalent Conditions of Vector Variational Inequalities....Pages 423-432
On Inverse Vector Variational Inequalities....Pages 433-446
Vector Variational Inequalities, Vector Equilibrium Flow and Vector Optimization....Pages 447-465
On Monotone and Strongly Monotone Vector Variational Inequalities....Pages 467-478
Connectedness and Stability of the Solution Sets in Linear Fractional Vector Optimization Problems....Pages 479-489
Vector Variational Inequality and Implicit Vector Complementarity Problems....Pages 491-505
Back Matter....Pages 507-526

✦ Subjects

Optimization; Calculus of Variations and Optimal Control; Optimization; Operations Research/Decision Theory; Systems Theory, Control