Banach空间中一类变分包含组的Mann迭代算法
Mann Iterative Algorithm for a System of Variational Inclusions in Banach Spaces
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摘要: 在Banach空间中引入和研究了一类含(A, η)增生映象的变分包含, 利用与(A, η))增生映象相联系的预解算子性质, 证明了这类变分包含解的存在性和唯一性. 对这类变分包含的逼近解也建立了一个新的Mann迭代算法, 并讨论了算法的收敛性.Abstract: In this paper, we introduce and study a system of variational inclusions involving (A, η)-accretive mappings in Banach spaces. Using the resolvent operator associated with (A, η)-accretive mappings, we prove the existence and uniqueness of the solution for this system of variational inclusions. We also construct a new Mann iterative algorithm for approximating the solution of this system of variational inclusions and discuss the convergence of the algorithm.
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