【摘要】 把Verma关于解变分包含问题的超松弛临界点算法（over-relaxed proximalpoint algorithm）从Hilbert空间扩展为q一致光滑Banach空间.并且导出了更为广义的超松弛临界点算法,在较弱的条件下证明了它的收敛性质.因此,研究结果可以应用于L^p,W^m,p（Ω）（p>1）等空间.更多还原

【Abstract】 In this paper we will Verma’s results on the over-relaxed proximal point algorithm of variational inclusions extent to Banach spaces.It is differ with Verma’s paper on excepting the restriction that the space X is Hilbert space and other the conditions.We also introduced the generalized over-relaxed proximal point algorithm and showed its the convergence.Thus our research for the variational inclusions can be applied to spaces L^p,W^m,p（Ω）（p>1）.更多还原