On Continuous Programming with Support Functions

• 作者: Abdul Raoof Shah Iqbal Husain Santosh K. Shrivastav
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Continuous PROGRAMMING SECOND-ORDER GENERALIZED INVEXITY SECOND-ORDER DUALITY Nonlinear PROGRAMMING Support Functions Natural Boundary VALUES
• 年，卷（期）: 2013,（10）
• 页码范围: 1441-1449
• 页数: 9页
• 分类号: O1

摘要

A second-order Mond-Weir type dual problem is formulated for a class of continuous programming problems in which both objective and constraint functions contain support functions;hence it is nondifferentiable. Under second-order strict pseudoinvexity, second-order pseudoinvexity and second-order quasi-invexity assumptions on functionals, weak, strong, strict converse and converse duality theorems are established for this pair of dual continuous programming problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between the duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.