渐近非扩张映象隐迭代的强弱收敛定理
점근비확장영상은질대적강약수렴정리
Strong and Weak Convergences of Implicit Iteration Process for Some Asymptotically Nonexpansive Mappings
  • 万方数据
    华东师范大学学报（自然科学版） 화동사범대학학보（자연과학판）
    JOURNAL OF EAST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE)
    2007年 3期 49-57 ,共9页

    全靖%张石生%龙宪军

    전정%장석생%룡헌군

    渐近非扩张映象%隐迭代%公共不动点 漸近非擴張映象%隱迭代%公共不動點
    점근비확장영상%은질대%공공불동점
    asymptotically nonexpansive mapping%implicit iteration sequence%com-mon fixed point
    证明了在Banach空间中渐近非扩张映象隐迭代强弱收敛到公共不动点定理,结果推广和改进了该领域近期获得的一系列成果.
    증명료재Banach공간중점근비확장영상은질대강약수렴도공공불동점정리,결과추엄화개진료해영역근기획득적일계렬성과.
    The purpose of this paper was to prove some strong and weak convergence theorems of the modified implicit iteration sequence to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented here improve many recent works.
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