Higher order duality for cone vector optimization problems

被引：1

作者：

Singh, Vivek ^{[1
]}

Jayswal, Anurag ^{[1
]}

Al-Homidan, S. ^{[2
]}

Ahmad, I ^{[2
]}

机构：

[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad 826004, Jharkhand, India

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 13卷 / 01期

关键词：

Vector optimization over cones; higher order duality; support function; K-higher order (Phi; rho)-V-invexity; D)-CONVEXITY; CONVEX; ALPHA; RHO; (F;

D O I：

10.1142/S1793557120500205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a new class of higher order (Phi, rho)-V-invex functions over cones. Further, we formulate two types of higher order dual models for a vector optimization problem over cones containing support functions in objectives as well as in constraints and establish several duality results, viz., weak and strong duality results.

引用

页数：15

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