Banach空间内一类含松弛-(H,η)-调算子的广义混合拟似变分包含组

System of Generalized Mixed Quasi-Variational Like Inclusions with Relaxed(H,η)-monotone Operators in Banach Spaces

在Banach空间内,引入和研究了一类新的含松弛-(H,η)-单调算子的广义混合拟似变分包含组.利用松弛-(H,η)-单调算子的豫解算子技巧,给出了求这类广义混合拟似变分包含组近似解的一个新逼近算法,并证明了由这个新算法生成的迭代序列强收敛于该变分包含组的精确解.文章结果改进与推广了近期文献中的相应结果.

In this paper,a new system of generalized mixed quasi-variational-like inclusions with relaxed（H,η）-monotone operators is introduced and studied in Banach Spaces.By using the resolvent operator technique associated with relaxed（H,η）-monotone operators,we construct a new proximal algorithm for solving the system of generalized mixed quasi-variational-like inclusions.We also prove the iterative sequences generated by the algorithms converge strongly to the exact solution of the system of generalized mixed quasi-variational-like inclusions.Our results improve and generalize many known corresponding results in recently literatures.