【摘要】 作者在Banach空间中引入广义型Ⅰ一致凸函数的概念,推广了型Ⅰ函数,拟型Ⅰ函数,也将广义型Ⅰ一致凸函数推广到不可微的情形,然后考虑了在Banach空间中关于广义型Ⅰ一致凸函数的向量优化问题,建立了Karush-Kuhn-Tucker型充分最优性条件,同时获得不同的对偶理论结果.更多还原

【Abstract】 A class of generalized Type-Ⅰ univex functions in Banach spaces which extend the concept of Type-Ⅰ functions,quasitype Ⅰ functions,also generalized Type-Ⅰ univex functions to non-differentiable case are introduced.Also a vector optimization problem under generalized Type-Ⅰ univex functions defined on Banach spaces is considered,and the Karush-Kuhn-Tucker type sufficient optimality conditions are established,also various duality results are obtained.更多还原