Generalized convex composite multi-objective nonsmooth programming and conditional proper efficiency

Abstract

The concept of conditional proper efficiency has been incorporated to develop the duality theory for nonsmooth constrained multiobjective optimization problems where the objective functions. and the constraints are compositions of V-invex functions, V-pseudo-invex functions and V-quasi-invex functions and locally Lipschitz and Gateaux differentiable functions. Lagrangian necessary conditions. and new sufficient optimality conditions for efficient and conditionally properly efficient solutions are presented. Some applications are also given. © 1995, Taylor & Francis Group, LLC. All rights reserved.