Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings

Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings
Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings

ㆍ 저자명: Puturong. Narongrit
ㆍ 간행물명: Kyungpook mathematical journal
ㆍ 권/호정보: 2009년|49권 4호|pp.667-674 (8 pages)
ㆍ 발행정보: 경북대학교 자연과학대학 수학과
ㆍ 파일정보: 정기간행물|ENG|
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서지반출

기타언어초록

In this paper, a new one-step iterative scheme with error for approximating common fixed points of asymptotically quasi-nonexpansive type nonself-mappings in Banach space is defined. The results obtained in this paper extend and improve the recent ones, announced by H. Y. Zhou, Y. J. Cho, and S. M. Kang [Zhou et al.,(2007), namely, A new iterative algorithm for approximating common fixed points for asymptotically non-expansive mappings, published to Fixed Point Theory and Applications 2007 : 1-9], and many others.

키워드

asymptotically quasi-nonexpansive type nonself-mapping completely continuous uniformly convex Banach space smooth Banach space uniformly L-Lipschitzian nonself-mapping weakly inward one-step iterative scheme

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