Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints

• 作者: Iqbal Husain Vikas K. Jain
• 来源期刊: 建模与仿真(英文)
• 学科: 数学
• 关键词: NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING Problem Efficient Solution Generalized INVEXITY DUALITY NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING Problems with EQUALITY and Inequality
• 年，卷（期）: 2013,（2）
• 页码范围: 7-13
• 页数: 7页
• 分类号: O22

摘要

In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presence of equality and inequality constraints. As an application of Karush-Kuhn-Tucker type optimality conditions, a Mond-Weir type dual to this problem is formulated and various duality results are established under generalized invexity assumptions. Finally, a special case is deduced from our result.