Nonregular mixed-constrained optimization problems

A. S. Melo; L. B. dos Santos; M. A. Rojas-Medar

doi:10.1080/02331934.2021.1970750

Nonregular mixed-constrained optimization problems

A. S. Melo
, L. B. dos Santos
, M. A. Rojas-Medar

Universidade Federal do Recôncavo da Bahia
Universidade Federal do Paraná
University of Taparacá

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush–Kuhn–Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.

Original language	English
Pages (from-to)	4879-4903
Number of pages	25
Journal	Optimization
Volume	71
Issue number	16
DOIs	https://doi.org/10.1080/02331934.2021.1970750
State	Published - 2022
Externally published	Yes

Keywords

90C26
90C30
90C46
Nonregular problems
generalized constraint qualifications
optimality conditions

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10.1080/02331934.2021.1970750

Cite this

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title = "Nonregular mixed-constrained optimization problems",

abstract = "We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush–Kuhn–Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.",

keywords = "90C26, 90C30, 90C46, Nonregular problems, generalized constraint qualifications, optimality conditions",

author = "Melo, \{A. S.\} and \{dos Santos\}, \{L. B.\} and Rojas-Medar, \{M. A.\}",

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AU - Melo, A. S.

AU - dos Santos, L. B.

AU - Rojas-Medar, M. A.

PY - 2022

Y1 - 2022

N2 - We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush–Kuhn–Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.

AB - We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush–Kuhn–Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.

KW - 90C26

KW - 90C30

KW - 90C46

KW - Nonregular problems

KW - generalized constraint qualifications

KW - optimality conditions

UR - https://www.scopus.com/pages/publications/85114409913

U2 - 10.1080/02331934.2021.1970750

DO - 10.1080/02331934.2021.1970750

M3 - Article

AN - SCOPUS:85114409913

SN - 0233-1934

VL - 71

SP - 4879

EP - 4903

JO - Optimization

JF - Optimization

IS - 16

ER -

Nonregular mixed-constrained optimization problems

Abstract

Keywords

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