高阶(F,η)-不变凸性下的多目标分式规划的最优性条件

Optimality Conditions for Higher-order(F,η)-Invexity Multiobjective Fractional Programming

定义了一类新的广义高阶(F,η)-不变凸函数、高阶(F,η)-伪不变凸函数、高阶(F,η)-拟不变凸函数等,并用若干的实例验证了该函数的存在性.在新广义凸函数的约束下,给出并证明了一类具有该广义凸性的多目标分式规划问题有效解和弱有效解的最优性充分条件.

In this paper,we define a new class of generalized higher-order(F,η)-invexity functions,higher-order(F,η)-pseudo invexity functions and higher-order(F,η)-quasi invexity functions.And the existence of the function is verified by several examples.Under the constraint of the new generalized convex function,the optimality sufficient conditions for the efficient solutions and weak efficient solutions of a class of multiobjective fractional programming problems with the generalized convexity are given and proved.