一类一般非线性似变分不等式解的存在性和唯一性

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A CLASS OF GENERAL NONLINEAR VARIATIONAL-LIKE INEQUALITY

证明了一类一般非线性似变分不等式在自反Ｂａｎａｃｈ空间中解的存在性和唯一性定理。这些定理改进和推广了Ｎｏｏｒ，Ｂｏｓｅ，Ｄｕｖａｎｔ－Ｌｉｏｎｓ，Ｎｅｃａｓ－Ｊｅｒｕｓｔｋ和丁－Ｔａｒａｆｄａｒ等人近期所得到的结果。

In this paper, we prove the existence and uniqueness theorems of solutions for a general nonlinear variational-like inequality under reflexive Banach space settings. Our theorems improve and generalize the recent results of Noor, Bose, Duvant-Lions, Necas-Jerusek-Haslinger and Ding-Tarafdar.