Banach空间解一类(A,η)-增生映象包含组的两步迭代算法
Two-Step Iterative Algorithm for Solving a System of(A,η)-Accretive Mapping Inclusions in Banach Spaces
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摘要: 在Banaeh空问中引入和研究了一类含(A,η)-增生映象的变分包含,利用(A,η)-增生映象的预解算子技巧,证明了这类(A,η)-增生映象包含组解的存在性和唯一性.并对这类(A,η)-增生映象包含组的逼近解构造了一种新的具误差的两步迭代算法,还讨论了由算法生成的迭代序列的收敛性.Abstract: In this paper,we introduce and study a new system of(A,η)-accretiVe mappmg inclusions in Banach spaces. Using the resolvent operator associated with(A,η)-accretive mappings,we prove the exlstence and uniqueness of the solutions,construct a new two-steP iterative algorithm with errors for solVing this system of(A,η)-accretive mapping inclusions,and discuss the convergence of iterative sequence generatedby the algorithm.
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