Banach空间中关于(H,η)增生算子的变分包含问题

在Banach空间中引进了一类(H,η)增生算子,利用预解算子技巧,建立了一个Ishikawa迭代,并证明了此迭代算法产生的变分包含的解的存在与唯一性。其结果是近期相关结果的改进与推广。

关于Banach空间中(H,η)增生算子的一些新结果

在Banach空间中引进一类(H,η)增生算子,利用预解算子技巧,得到(H,η)增生算子的一些新结果。其结果是近期相关结果的改进与推广。

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

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.