A TUTORIAL NOTE ON MULTIOBJECTIVE SEMI-INFINITE PROGRAMMING

Abstract

This tutorial note deals with the class MOSIP of multiobjective semi-innite programming problems which are dened by nitely many objective functions and innitely many inequality constraints in a nite-dimensional space. This note overviews recent results on solution types, constraint qual- ications and optimality conditions for nonconves problems of the type MOSIP. Moreover, under additional convexity assumptions, weak, strong and converse duality results are reviewed with re- spect to both eciency and weak eciency.