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ALMOST e - QUASISOLUTIONS OF A NONCONVEX PROGRAMMING PROBLEM WITH AN INFINITE NUMBER OF CONSTRAINTS

Thach Van Tran 1, *
Son Quang Ta 2
  1. Thu Dau Mot University
  2. Nhatrang College of Education
Correspondence to: Thach Van Tran, Thu Dau Mot University. Email: pvphuc@hcmuns.edu.vn.
Volume & Issue: Vol. 15 No. 3 (2012) | Page No.: 57-68 | DOI: 10.32508/stdj.v15i3.1847
Published: 2012-09-30

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

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

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