REFINEMENTS OF $\VAREPSILON$-DUALITY THEOREMS FOR A NONCONVEX PROBLEM WITH AN INFINITE NUMBER OF CONSTRAINTS

TA QUANG  SON

REFINEMENTS OF $\VAREPSILON$-DUALITY THEOREMS FOR A NONCONVEX PROBLEM WITH AN INFINITE NUMBER OF CONSTRAINTS

Authors

TA QUANG SON Faculty of Mathematics & Applications, Saigon University, 273 An Duong Vuong Street, District 5, HCMC,Vietnam

Keywords:

Almost ε-quasi solutions, ε-quasi solutions, ε-duality theorems

Abstract

Some remarks on approximate optimality conditions of a nonconvex optimization problem which has an infinite number of constraints are given. Results on $\epsilon$-duality theorems of the problem are refined by using a mixed type dual problem of Wolfe and Mond-Weir type.