Banach空间中关于广义拟变分包含族和无限族k-严格伪压缩映象的强收敛定理

在一致凸和2-一致光滑Banach空间的框架下,引入了广义拟变分包含族,为寻求广义拟变分包含族的解集与无限族k-严格伪压缩映象公共不动点集的公解,引入了一个新的迭代序列.并在适当的条件下,用迭代逼近算法,证明了逼近于这一公解的强收敛定理.结果推广和改进了最近文献的一些主要结果.

Strong Convergence Theorems for Systems of Generalized Quasi-variational Inclusions and Infinite k-Strict Pseudo-Contractive Mappings in Banach Spaces

In this paper,a concept of system of generalized quasi-variational inclusions is introduced in uniformly convex and 2-uniformly smooth Banach spaces.For finding common elements of the set of solutions the system with the set of common fixed point for a family of infinite k-strict pseudo-contractive mappings,a new iterative scheme is given.It is shown that under suitable conditions,by using the iterative approximation algorithm,the strong convergence theorems for approximating to this common fixed points are proved.The results presented in this paper improve and extend the corresponding results announced in recent literature.