Approximate optimal solutions and nonlinear Lagrangian functions

被引：9

作者：

Huang, XX ^{[2
]}

Yang, XQ

机构：

[1] Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing 400047, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2001年 / 21卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

nonlinear programming; approximate solution; nonlinear Lagrangian; Ekeland's variational principle;

D O I：

10.1023/A:1017960629124

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

There is an increasing interest in the study of optimality conditions of approximate solutions for nonlinear optimization problems. In this paper, relationships between approximate optimal values and approximate roots of a nonlinear function are explored via a nonlinear Lagrangian function. Almost approximate optimal solutions are investigated by means of nonlinear Lagrangian functions.

引用

页码：51 / 65

页数：15

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