一类新的集值ф-强增生型变分包含问题解的存在性与迭代逼近

Existence and iterative approximation of solution for a new class of variational inclusions with set-valued ф-strongly accretive type mappings

研究了Banach空间中一类新的集值ф-强增生型变分包含问题,在实的自反光滑Banach空间中,证明了这类变分包含问题解的存在唯一性及其带误差的Ishikawa迭代程序的收敛性。此结果与曾六川教授最近的结果及主要定理的证明方法都是不同的。

A new class of variational inclusions with set-valued φ-strongly accretive type mappings in a Banach space X is studied. The existence and uniqueness of the solutions to this class of variational inclusions and convergence of the Ishikawa iteration process with errors for approximation solutions is presented. The results improve those obtained by Zeng Lu-chuan and others.