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一致等度连续的渐近拟伪压缩型映象的强收敛性
STRONG CONVERGENCE FOR UNIFORMLY EQUI-CONTINUOUS AND ASYMPTOTICALLY QUASI PSEUDO-CONTRACTIVE TYPE MAPPINGS
【摘要】 设E是实赋范线性空间.K是E中的非空凸子集.T1,T2是K上的自映象.当T1是一致等度连续的渐近拟伪压缩型映象,T2是广义一致Lipschitz映象时,研究了具误差的Isikawa型迭代序列强收敛于T1,T2公共不动点的充要条件.所得结果推广和改进了近期内的相应结果.
【Abstract】 Let E be an arbitrary normed linear space,K be a nonempty convex subset of E and T1,T2 be self-map on K.A necessary and sufficient condition is shown for the Ishikawa type iterative sequence with errors to converge strongly to the common fixed point of T1,T2 when T1 is a uniformly equi-continuous and asymptotically quasi pseudo-contractive type mapping and T2 is generalized uniformly Lipschitz mappings.The results improve and generalize some recent known results in the literature.
【关键词】 渐近拟伪压缩型映象;
一致等度连续;
广义一致Lipschitz映象;
具误差的Isikawa型迭代序列;
不动点;
【Key words】 Asymptotically quasi pseudo-contractive type mapping; uniformly equi continuous; generalized uniformly Lipschitz mapping; Ishikawa type iterative sequence with errors; fixed points;
【Key words】 Asymptotically quasi pseudo-contractive type mapping; uniformly equi continuous; generalized uniformly Lipschitz mapping; Ishikawa type iterative sequence with errors; fixed points;
【基金】 国家自然科学基金(60974143)资助课题
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2011年05期
- 【分类号】O177
- 【被引频次】2
- 【下载频次】52