Approximate Optimal Solutions and Nonlinear Lagrangian Functions

X. X. Huang; Xiaoqi Yang

doi:10.1023/A:1017960629124

Approximate Optimal Solutions and Nonlinear Lagrangian Functions

X. X. Huang, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	51-65
Number of pages	15
Journal	Journal of Global Optimization
Volume	21
Issue number	1
DOIs	https://doi.org/10.1023/A:1017960629124
Publication status	Published - 1 Sep 2001

Keywords

Approximate solution
Ekeland's variational principle
Nonlinear Lagrangian
Nonlinear programming

ASJC Scopus subject areas

Management Science and Operations Research
Global and Planetary Change
Applied Mathematics
Control and Optimization

More information

10.1023/A:1017960629124

Cite this

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abstract = "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.",

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