k-次增生型变分包含解的迭代构造

研究一般Banach空间中一类k-次增生型变分包含问题解的存在性及其具混合误差的Ishikawa迭代程序的收敛性问题,给出此迭代程序强收敛于变分包含问题唯一解的充要条件,建立迭代系数{nα}与{nβ}的极限limn→∞nα和limn→∞βn未必为零时迭代程序强收敛于Lipschitz连续的k-次增生型变分包含解的误差估计式.它们是一些已有结果的本质改进和推广.

On the iterative construction of solutions to variational inclusions with k-subaccretive type mappings

The research is to investigate the existence of solutions and convergence of Ishikawa iterative process with mixed errors for a class of variational inclusions problems with k-subaccretive type mappings in arbitrary Banach spaces,the necessary and sufficient conditions are given that process strongly converge to the uniquess solutions of variational inclusion problem,estimations of error are established for iterative process strongly converge to solutions to variational inclusion with Lipschitz k-subaccretive type mappings when limn→∞ αn and limn→∞ βn may not be zero.The results extend and improve the corresponding results obtained recently by several authors.