A Newton-Like Method for Variable Order Vector Optimization Problems

被引：6

作者：

Bento, Glaydston de Carvalho ^{[1
]}

Bouza Allende, Gemayqzel ^{[2
]}

Leite Pereira, Yuri Rafael ^{[3
]}

机构：

[1] Univ Fed Goias, IME, BR-74001970 Goiania, Go, Brazil

[2] Univ Habana, Fac Math & Comp Sci, Havana 10400, Cuba

[3] Univ Fed Piaui, DM, Teresina, Brazil

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 177卷 / 01期

关键词：

Descent direction; Efficient points; K-strong convexity; Newton method; Variable order vector optimization; APPROXIMATE SOLUTIONS;

D O I：

10.1007/s10957-018-1236-2

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：

A Newton approach is proposed for solving variable order smooth constrained vector optimization problems. The concept of strong convexity is presented, and its properties are analyzed. It is thus obtained that the Newton direction is well defined and that the algorithm converges. Moreover, the rate of convergence is obtained under ordering structures satisfying a mild hypothesis.

引用

页码：201 / 221

页数：21

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