Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem

Wenyan Han, Guolin Yu, Tiantian Gong
2020 Complexity  
This note is devoted to the investigation of optimality conditions for robust approximate quasi weak efficient solutions to a nonsmooth uncertain multiobjective programming problem (NUMP). Firstly, under the extended nonsmooth Mangasarian–Fromovitz constrained qualification assumption, the optimality necessary conditions of robust approximate quasi weak efficient solutions are given by using an alternative theorem. Secondly, a class of generalized convex functions is introduced to the problem
more » ... UMP), which is called the pseudoquasi-type-I function, and its existence is illustrated by a concrete example. Finally, under the pseudopseudo-type-I generalized convexity hypothesis, the optimality sufficient conditions for robust approximate quasi weak efficient solutions to the problem (NUMP) are established.
doi:10.1155/2020/9849636 doaj:57214555ff054f53a5517e5c00223352 fatcat:figt3ueclnc3tbnqbfyw5mlh2y