研究了Banach空间中一类新的φ-强增生型变分包含问题.在实自反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有误差项的Mann迭代程序的收敛性,本文结果是最近结果的改进与推广.
The purpose of this paper is to investigate the existence and uniqueness for solutions to variational inclusions with φ-strongly accretive type mappings in reflexive Banach spaces,and the convergence of the Mann iteration method with errors in finding their approximate solutions.The results in this paper improve and extend the earlier and recent corresponding results.