Dual problems of quasiconvex maximisation
Authors:
- 1 February 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 51 (1) , 139-144
Abstract
A conjugacy operation is introduced on the set Q(X) of all quasiconvex lower semicontinuous nonnegative functions vanishing at zero. This operation is used in order to introduce and study a dual problem with respect to a maximisation problem where both constraint and objective functions belong to Q(X).Keywords
This publication has 2 references indexed in Scilit:
- Global Optimality Criterion and a Duality with a Zero Gap in Nonconvex OptimizationSIAM Journal on Mathematical Analysis, 1993
- Quasiconjugates of functions, duality relationship between Quasiconvex Minimization under a Reverse Convex Constraint and Quasiconvex Maximization under a Convex Constraint, and applicationsJournal of Mathematical Analysis and Applications, 1991