Theorem of alternative for a class of quasiconvex n-set functions and its applications to multiobjective fractional programming problems

被引：0

作者：

Bhatia, D

Mehra, A

机构：

[1] Univ Delhi, Fac Math Sci, Dept Operat Res, Delhi 110007, India

[2] Acharya Narendra Dev Coll, Dept Math, New Delhi 110019, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2001年 / 32卷 / 06期

关键词：

quasiconvex n-set functions; theorem of alternative; multiobjective fractional programming; optimality conditions; duality relations;

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, we introduce a class of r-quasiconvex n-set functions. A new theorem of alternative is proved for this class of functions. This theorem is then utilized to obtain optimality conditions and Lagrangian duality results for multiobjective fractional programming problems involving n-set functions.

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收藏

页码：949 / 960

页数：12

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