The theory of convex optimization has been developing constantly over the past30 years. Recently researchers have been studying more complicated classes ofprobl... » 

The theory of convex optimization has been developing constantly over the past30 years. Recently researchers have been studying more complicated classes ofproblems that still can be studied by means of convex analysis socalledanticonvex and convexanticonvex optimization problems. This monographcontains an exhaustive presentation of the duality theory for these classes ofproblems and their generalizations. TOCPreliminaries. Worst Approximation.Duality for Quasiconvex Supremization. Optimal Solutions for QuasiconvexMaximization. Reverse Convex Best Approximation. Unperturbational Duality forReverse Convex Infimization. Optimal Solutions for Reverse ConvexInfimization. Duality for D.C. Optimization Problems. Duality forOptimization in the Framework of Abstract Convexity. Notes and Remarks.References. Index «