Open AccessALMOST e - QUASISOLUTIONS OF A NONCONVEX PROGRAMMING PROBLEM WITH AN INFINITE NUMBER OF CONSTRAINTS
Author(s) -
Thach Van Tran,
Son Quang Ta
Publication year - 2012
Publication title -
khoa học công nghệ
Language(s) - English
Resource type - Journals
ISSN - 1859-0128
DOI - 10.32508/stdj.v15i3.1847
Subject(s) - mathematics , duality (order theory) , karush–kuhn–tucker conditions , mathematical optimization , combinatorics
Under a generalized Karush – Kuhn – Tucker condition up to e, we establish some sufficient optimality conditions for almost e- quasisolutions of a nonconvex programming problem which has an infinite number of constraints. Some results on -weak duality in Mond-Weir type for the problem are also introduced