HIGHER-ORDER DUALITY IN NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING CONES

被引：0

作者：

Lee, Hyo Jung ^{[1
]}

Jiao, Liguo ^{[1
]}

Kim, Do Sang ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Busan, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 10期

关键词：

Nondifferentiable multiobjective programming; higher-order type I functions; support function; fractional programming; ratio invexity; OPTIMALITY; INVEXITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider nondifferentiable multiobjective fractional programming problem involving cone constraints, where every denominator and numerator of the objective function contains a term involving the support function of a compact convex set. Necessary and sufficient optimality conditions are established for weakly efficient solutions under higher-order type I assumptions. We formulate duality theorems for multiobjective fractional programming problem under higher-order type I functions. Some special cases of our duality results are presented.

引用

页码：2103 / 2116

页数：14

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