Fritz John Duality in the Presence of Equality and Inequality Constraints

• 作者: Iqbal Husain Santosh K. Shrivastav
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SECOND-ORDER INVEXITY SECOND-ORDER PSEUDOINVEXITY SECOND-ORDER Quasi-Invexity Nonlinear PROGRAMMING Fritz John Type Dual
• 年，卷（期）: 2012,（9）
• 页码范围: 1023-1028
• 页数: 6页
• 分类号: O1

摘要

A dual for a nonlinear programming problem in the presence of equality and inequality constraints which represent many realistic situation, is formulated which uses Fritz John optimality conditions instead of the Karush-Kuhn-Tucker optimality conditions and does not require a constraint qualification. Various duality results, namely, weak, strong, strict-converse and converse duality theorems are established under suitable generalized convexity. A generalized Fritz John type dual to the problem is also formulated and usual duality results are proved. In essence, the duality results do not require any regularity condition if the formulations of dual problems uses Fritz John optimality conditions.