Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions

Abstract

A nonlinear multiple objective programming problem is considered where the functions involved are nondifferentiable. By considering the concept of weak minima, the Fritz John type and Karush-Kuhn- Tucker type necessary optimality conditions and Wolfe and Mond-Weir type duality results are given in terms of the right differentials of the functions. The duality results are stated by using the concepts of generalized semilocally convex functions

Keywords:

• Multiple Objective Programming
• Weak Minimum
• Optimality Conditions
• Duality
• Generalized Convex Functions