q-一致平滑Banach空间上非线性变分包含组的逼近可解性

The Approximate Solvability of A System of Nonlinear Variational Inclusions In q-Uniformly Smooth Banach Spaces

在q-一致平滑Banach空间中研究了一类非线性变分包含组,运用m-增殖映射的预解算子技巧,构造了一类迭代序列,证明了在q-一致平滑Banach空间上这类迭代序列的收敛性,推广了Verma一文中的有关结果.

In this paper, we study a system of nonlinear variational inclusions in q-uniformly smooth Banach spaces. By using resolvent operator technique for m-accretive mappings. We constract some iterative algorithms for solving this system of nonlinear variational inclusions, the convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces. The corresponding result of Verma is extended.