SOME SUFFICIENT OPTIMALITY CONDITIONS IN NONDIFERENTIABLE MULTIOBJECTIVE PROGRAMMING

作者：Constantinescu Alina^*; Badea Leonardo; Meghisan Madalina

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2015, 77(2): 261-268.

• multiobjective programming
• nonsmooth functions

This study focuses on the nondiferentiable multiobjective programming problem. We start from the invexity proposed by H. Slimani and MS. Radjef They consider the invexity for a differentiable vector function. when each component of function is invex with respect to its own function eta(i). We extend this concept to a general invexity class of rho -invexity and, moreover for this case, we consider that the vector function is nondifferentiable. In this framework, we investigate the optimality conditions and give some new theorems that state the sufficient conditions for a feasible point to be efficient.

• 出版日期2015