赋范空间中有限个渐近一致φ2 伪压缩映象公共不动点的迭代逼近
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Approximating fixed point of a finite family of asymptotically identical φ2pseudo contractive mapping by iteration processes in normed linrear spaces
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    摘 要:设X 是一实赋范空间, D是X 的非空凸子集. Ti :D →D ( i = 1, 2, ?, m )是m 个渐近一致φ - 伪 压缩的一致L 2L ip schitzian映象. 证明了在一定条件下,关于{ xn }的迭代: xn + 1 = ( 1 - α1, n ) xn +α1, n Tn 1 y1, n ; y1, n = (1 -α2, n ) xn +α2, n Tn 2 y2, n ; ?; ym - 1, n = (1 -αm, n ) xn +αm, n Tn m xn , P n≥0强收敛于有限个渐近一致φ - 伪压缩 的一致L 2L ip schitzian映象Ti ( i = 1, 2, ?, m )的公共不动点.

    Abstract:

    Abstract: Let X be a normed linear space, D be a nonemp ty convex subset of X. Let Ti :D →D ( i = 1, 2?m ) be asymp totically identicaiφ2p seudo contractive type mapp ings with common fixed points. It is shown that under some suitable conditions, the sequence { xn } defined as follows; xn + 1 = (1 -α1, n ) xn +α1, n Tn 1 y1, n ; y1, n = (1 -α2, n ) xn +α2, n Tn 2 y2, n ; ?; ym - 1, n = (1 -αm, n ) xn +αm, n Tn m xn , P n≥0. Then it converges strongly to the fixed point of Ti ( i = 1, 2?m ) .

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王 兵.赋范空间中有限个渐近一致φ2 伪压缩映象公共不动点的迭代逼近[J].重庆工商大学学报(自然科学版),2009,(5):434-436
. Approximating fixed point of a finite family of asymptotically identical φ2pseudo contractive mapping by iteration processes in normed linrear spaces[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2009,(5):434-436

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