一类(H,η)-单调算子的变分包含组

A New System of Cariational Inclusions Involving (H,η)-monotone operator

在Hilbert空间中,引入并研究一类新的关于(H,η)-单调算子的广义变分包含组问题.利用预解算子技巧和不动点定理证明了这类变分包含组解的存在性和唯一性.

A new class of system of generalized variational inclusion involving （H, η）-monotone operator is introduced and studied in Hilbert spaces. The author prove that the existence and uniqueness of solution of the system of generalized variational inclusions by using resolvent operator technique and the fixed point theorem.