【摘要】 针对非扩张映像不动点逼近问题,在一致光滑Banach空间框架下建立了三步复合Halpern迭代格式,证明了三步复合Halpern迭代序列逼近非扩张映像不动点的强收敛定理,所得结论改进了Halpern、L ions、R iech、H.K.Xu和W ittm ann等人的研究结果.更多还原

【Abstract】 According to the problems of the approximation for fixed points of nonexpansive mappings,the three step composite Halpern iteration scheme is presented for fixed points of nonex pansive mappings,and the strong convergence theorems for fixed points of nonexpansive mappings are proved in the uniformly smooth Banach spaces.The results improve and extend the research of Halpern,Lions,Riech,Xu,Wittmann and some others.更多还原