河北大学学报(自然科学版)
河北大學學報(自然科學版)
하북대학학보(자연과학판)
JOURNAL OF HEBEI NORMAL UNIVERSITY
2004年
1期
23-27
,共5页
不动点%渐进伪压缩映射%渐进非扩张映射%Mann迭代Ishkawa迭代%光滑巴拿赫空间
不動點%漸進偽壓縮映射%漸進非擴張映射%Mann迭代Ishkawa迭代%光滑巴拿赫空間
불동점%점진위압축영사%점진비확장영사%Mann질대Ishkawa질대%광활파나혁공간
fixed points%asymptotically pseudocontractive mappings%asymptotically nonexpansive mappings%Mann-type and Ishkawa-type iterations%smooth Banach space
主要研究在巴拿赫空间中具误差的渐进伪压缩映射Ishikawa和Mann 迭代收敛到不动点的问题.Ishikawa迭代和Mann迭代是具误差的Ishikawa迭代和Mann迭代的特例.在以前的基础上,将渐进伪压缩映射从单值推广到多值,将Ishikawa迭代和Mann迭代从不带误差推广到带误差.论文中所得到的结果是对以前结果的一种推广.
主要研究在巴拿赫空間中具誤差的漸進偽壓縮映射Ishikawa和Mann 迭代收斂到不動點的問題.Ishikawa迭代和Mann迭代是具誤差的Ishikawa迭代和Mann迭代的特例.在以前的基礎上,將漸進偽壓縮映射從單值推廣到多值,將Ishikawa迭代和Mann迭代從不帶誤差推廣到帶誤差.論文中所得到的結果是對以前結果的一種推廣.
주요연구재파나혁공간중구오차적점진위압축영사Ishikawa화Mann 질대수렴도불동점적문제.Ishikawa질대화Mann질대시구오차적Ishikawa질대화Mann질대적특례.재이전적기출상,장점진위압축영사종단치추엄도다치,장Ishikawa질대화Mann질대종불대오차추엄도대오차.논문중소득도적결과시대이전결과적일충추엄.
Ishikawa-type and Mann-type iterative sequences of asymtotically pseudocontractive mappings with error mem ber were studied to converge to fixed points in Banach space.Ishikawa-type and Mann-type with errors scheme includes Ishikawa-type and Mann-type iterations as special cases. The results obtained in this paper represent an extension as well as refinement of previous known results.
