用改进的算法证明了Hilbert空间中关于Lipschitzian单调算子的变分不等式一个强收敛定理,并推导了一个Hilbert空间中关于Lipschitzian伪压缩算子的已有结果.从而改进了近期相关结果.
[1] Chidume CE., Mutangadura SA.. An example on the Mann iteration method for Lipschitz pseudocontractions [J]. Proceedings of the American Mathematical Society 2001, 8(8).
[2] W. Takahashi, M. Toyoda. Weak Convergence Theorems for Nonexpansive Mapping and Monotone Mappings [J]. Journal of Optimization Theory and Applications 2003, 2(2).
[3] IIDUKA H, TAKAHASHI W, TOYODA W. A approximation of solutions of variational inequalities for monotone mappings [J]. Pan-American Mathematical Journal 2004, 14.
[4] Iiduka H, Takahashi W. Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2005, 3(3).
[5] Marino G, Xu HK. Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces [J]. Journal of Mathematical Analysis and Applications 2007, 1(1).
[6] Nadezhkina N, Takahashi W. Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings [J]. Journal of Optimization Theory and Applications 2006, 1(1).
