INVEXITY AND A CLASS OF CONSTRAINED OPTIMIZATION PROBLEMS IN HILBERT SPACES

被引：0

作者：

Chatterjee, Sandip ^{[1
]}

Mukherjee, R. N. ^{[2
]}

机构：

[1] Heritage Inst Technol, Dept Math, Kolkata 700107, W Bengal, India

[2] Univ Burdwan, Dept Math, Burdwan, W Bengal, India

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2014年 / 29卷 / 04期

关键词：

Convexity; Invexity; Frechet Derivative; Archimedean Order; Zorn's Lemma;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the notion of invexity has been introduced in Hilbert spaces. A class of constrained optimization problems has been proposed under the assumption of invexity. Some of the algebraic properties leading to the optimality criterion of such a class of problems has been studied.

引用

页码：337 / 342

页数：6

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