Higher-order symmetric duality with higher-order generalized invexity

被引：2

作者：

Padhan S.K. ^{[1
]}

Nahak C. ^{[2
]}

机构：

[1] Department of Mathematics, Veer Surendra Sai University of Technology, Burla

[2] Department of Mathematics, Indian Institute of Technology, Kharagpur

来源：

Journal of Applied Mathematics and Computing | 2015年 / 48卷 / 1-2期

关键词：

Converse duality; Higher-order (Formula presented.)−invexity; Higher-order (Formula presented.)−pseudo-invexity; Higher-order (Formula presented.)−quasi-invexity; Higher-order symmetric duality; Strong duality; Weak duality; Wolfe and Mond–Weir type duality;

D O I：

10.1007/s12190-014-0810-5

中图分类号：

学科分类号：

摘要：

Two different pairs of higher-order symmetric dual programs such as Wolfe type and Mond–Weir type are studied. The weak, strong and converse duality theorems are established for the higher-order symmetric dual programs under higher-order (Formula presented.)-invexity and (Formula presented.)-pseudo-invexity assumptions. Many examples and counterexamples are illustrated to justify our work. We also observe that several known results are obtained as special cases. © 2014, Korean Society for Computational and Applied Mathematics.

引用

页码：407 / 420

页数：13

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