系统科学与数学
繫統科學與數學
계통과학여수학
JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES
2009年
12期
1613-1621
,共9页
无限族严格渐近伪压缩映象%Brawder-Petryshyn型的严格伪压缩映象%隐式迭代序列%公共不动点.
無限族嚴格漸近偽壓縮映象%Brawder-Petryshyn型的嚴格偽壓縮映象%隱式迭代序列%公共不動點.
무한족엄격점근위압축영상%Brawder-Petryshyn형적엄격위압축영상%은식질대서렬%공공불동점.
Strictly asymptotically pseudocontractive mapping%strictly pseudocontrac-tive mapping of Browder-Petryshyn type%implicit iteration process with errors%common fixed point.
在Banach空间框架下,对无限族的严格渐近伪压缩映象和无限族的非扩张映象引入了一类新的隐迭代程序,并在适当的条件下,证明了该迭代程序强收敛于这两族映象的公共不动点.结果是新的,它推广和改进了一些人的最新结果.
在Banach空間框架下,對無限族的嚴格漸近偽壓縮映象和無限族的非擴張映象引入瞭一類新的隱迭代程序,併在適噹的條件下,證明瞭該迭代程序彊收斂于這兩族映象的公共不動點.結果是新的,它推廣和改進瞭一些人的最新結果.
재Banach공간광가하,대무한족적엄격점근위압축영상화무한족적비확장영상인입료일류신적은질대정서,병재괄당적조건하,증명료해질대정서강수렴우저량족영상적공공불동점.결과시신적,타추엄화개진료일사인적최신결과.
In this paper a new implicit iteration process for an infinite family of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are introduced. By using the iterative process some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are proved. The results presented in the paper are new which extend and improve some recent results.
