【摘要】 首先引进了广义(F,g)-投影算子,提出了一个新的例外簇概念,并运用Fan-KKM定理以及例外簇,分别在无单调性与渐近h-g伪单调假设下,研究了自反Banach空间中一类F隐变分不等式的可解性与解集特征问题,得到了新的解的存在性定理.更多还原

【Abstract】 In this paper,the authors investigate a class of F-implicit variational inequality problems in reflexive Banach spaces.By introducing a new concept of the generalized(F,g)-projection operator and a new definition of exceptional family and using Fan-KKM theorem and exceptional family under asymptotic h-g pseudomonotonicity and without monotonicity assumptions,respectively,the authors derive some existence theorems and some properties of the solutions.更多还原