Banach空间中伪压缩型映象不动点的迭代逼近  

AN ITERATIE APPROXIMATION OF FIXED POINT FOR PSEUDOCONTRACTIVE TYPE MAPPING IN BANACH SPACE

作　　者：何晓林[1] 

机构地区：[1]泸州医学院数学教研室,646000

出　　处：《泸州医学院学报》1999年第6期471-474,共4页Journal of Luzhou Medical College

摘　　要：目的：研究Banach空间中伪压缩型映象不动点的选代逼近。方法：运用不等式（2．5）分析带有误差项的Ishikawa选代序列在一定条件下的收敛性。结果：得到了关于强半伪压缩多值映象的Ishikawa序列收敛于其相关点的一个定理，这一定理推广了J．C．Dunn等人的结果。结论：设X是一致光滑的实Banach空间，映象T：X→2x关于x是强半伪压缩的，且R（T）有界，又设{αn},{βn}[0,1]满足条件α，β→0,序列{un},{vn}X满足条件，则如下定义的Ishikawa型迭代序列{xn}：强收敛于x。当T的不动点存在时，则上述序列强收敛于T的不动点。Objective: To investigate the iterative approtimationsof fixed point for pseudocontractive type mapping in Banah space. Mothods: Employ inequality (2. 5) to study the convergence of Ishikawa sequence under som conditions. Results: A thcorem on convergence of Ishikawa iterative processes with errors for strongly Semi-pseudocontractive mapping isobtained, which extended the J. C. Dunn's results. Conclusions: tet X be a uniformly smooth real Banach space, T: X→ 2x be a sbongly semi - pseudocontractive mapping for x, and R(T) = Tx be bounded.Suppose Then the sequence given by converges strongly to k. If fixed point of T exists, then it is unique and the sequence above strongl converges to the fixed point of T

关 键 词：不动点 ISHIKAWA迭代 伪压缩映象 BANACH空间 

分 类 号：O177.91[理学—数学]