ABSTRACT

This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and multicriteria problems. In addition, it examines duality in the context of variational inequalities and vector variational inequalities, as generalizations to optimization. Duality in Optimizati

chapter 1|40 pages

Mathematical Prelimimaries

chapter 2|52 pages

Duality in Network Optimization

chapter 3|34 pages

Duality in Linear Systems

chapter 4|24 pages

Duality in Convex Nonlinear Systems

chapter 5|42 pages

Duality in Nonconvex Systems

chapter 6|22 pages

Duality in Variational Inequalities

chapter 7|22 pages

Elements of Multicriteria Optimization

chapter 8|30 pages

Duality in Multicriteria Optimization

chapter 9|26 pages

Duality in Vector Variational Inequalities