【摘 要】
：
In this paper,a new notion of a generalized H-η-accretive operator is intro- duced and studied,which provides a unifying framework for the generalized m-accret
【机 构】
：
Department of Mathematics
【基金项目】
：
the Key Program of the National Natural Science Fo;高等学校博士学科点专项科研项目;国家自然科学基金
论文部分内容阅读
In this paper,a new notion of a generalized H-η-accretive operator is intro- duced and studied,which provides a unifying framework for the generalized m-accretive operator and the H-η-monotone operator in Banach spaces.A resolvent operator associ- ated with the generalized H-η-accretive operator is defined,and its Lipschitz continuity is shown.As an application,the solvability for a class of variational inclusions involving the generalized H-η-accretive operators in Banach spaces is considered.By using the technique of the resolvent mapping,an iterative algorithm for solving the variational in-clusion in Banach spaces is constructed.Under some suitable conditions,it is proven that the solution for the variational inclusion and the convergence of the iterative sequence generated by the algorithm exist.
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