Optimality conditions and duality for interval-valued optimization problems using convexifactors

被引：26

作者：

Jayswal A. ^{[1
]}

Stancu-Minasian I. ^{[2
]}

Banerjee J. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826 004, Jharkhand

[2] Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, 13 Septembrie Street, No. 13, Bucharest

来源：

Rendiconti del Circolo Matematico di Palermo (1952 -) | 2016年 / 65卷 / 1期

关键词：

Convexifactors; Convexity; Duality; Interval-valued programming; LU-optimal; Sufficiency;

D O I：

10.1007/s12215-015-0215-9

中图分类号：

学科分类号：

摘要：

This paper is devoted to the applications of convexifactors on interval-valued programming problem. Based on the concept of LU optimal solution, sufficient optimality conditions are established under generalized (Formula presented.) -convexity assumptions. Furthermore, appropriate duality theorems are derived for two types of dual problem, namely Mond–Weir and Wolfe type duals. We also construct examples to manifest the established relations. © 2015, Springer-Verlag Italia.

引用

页码：17 / 32

页数：15

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