关于H-增生算子的变分包含解的具误差的近似点算法

Proximal Point Algorithm with Errors for Variational Inclusions with H-accretive Operators

q-一致光滑Banach空间中研究了一类关于H-增生算子的广义变分包含,利用新预解算子技巧,对这类变分包含建立了一个新的解的带误差的近似点算法,并证明了由此迭代算法生成的迭代序列强收敛于这类变分包含的解。其所得结果是近期相关结果的改进和推广。

A class of generalized variational inclusions involving H - accretive operators is introduced and studied in q -uniformly smooth Banach spaces. By using new resolvent operator technique,we suggest a new proximal point algorithm with errors for finding approximate solutions which strongly converge to the exact solution of generalized variational inclusions. The results presented in this paper extend and improve many known results in the literature.