A New System of Variational Inclusions with （H,η）-accretive Operators in Banach Spaces

在这份报纸，我们首先介绍说出的概括 accretive 操作员的一个新班( H ，)在学习性质的 Banach space.By 的 -accretive ( H ，) -accretive,we 扩大与 m-accretive 操作员联系到的溶剂操作员的概念新( H ，)新溶剂操作员技术的 -accretive operators.In 术语，我们证明变化 inclusions.We 的这个新系统的解决方案的存在和唯一也为接近构造一个新算法这个系统和 dis

In this paper, we first introduce a new class of generalized accretive operators named （H,η）-accretive in Banach space. By studying the properties of （H,η）-accretive, we extend the concept of resolvent operators associated with m-accretive operators to the new （H,η）-accretive operators. In terms of the new resolvent operator technique, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm.