Banach空间中关于(H,η)增生算子的变分包含问题

Ishikawa Iterative Process for Variational Inclusions with Accretive Operators In Banach Spaces

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。

It introduces and studies a new class of （H, η） accretive operators in Banach spaces. By using a new resolvent operator technique, it suggest a new Isikawa iterative algorithm and proves the existence and uniqueness of solutin for the class of variational inclusions. The results are new,which unify and extend many results in the literature.