西南师范大学学报(自然科学版)
西南師範大學學報(自然科學版)
서남사범대학학보(자연과학판)
JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
2014年
10期
13-17
,共5页
全渐近非扩张映射族%Δ-收敛%强收敛
全漸近非擴張映射族%Δ-收斂%彊收斂
전점근비확장영사족%Δ-수렴%강수렴
total asymptotically nonexpansive mappings%Δ-convergence%strong convergence
在CAT(0)空间中引进一类有限全渐近非扩张映射族,研究此类非扩张映射族的多步混合 Agarwal-O'Regan-Sahu型迭代算法,证明此迭代算法在一定条件下Δ-收敛和强收敛到两个有限全渐近非扩张映射族的公共不动点。
在CAT(0)空間中引進一類有限全漸近非擴張映射族,研究此類非擴張映射族的多步混閤 Agarwal-O'Regan-Sahu型迭代算法,證明此迭代算法在一定條件下Δ-收斂和彊收斂到兩箇有限全漸近非擴張映射族的公共不動點。
재CAT(0)공간중인진일류유한전점근비확장영사족,연구차류비확장영사족적다보혼합 Agarwal-O'Regan-Sahu형질대산법,증명차질대산법재일정조건하Δ-수렴화강수렴도량개유한전점근비확장영사족적공공불동점。
In this paper ,the finite family of total asymptotically nonexpansive mappings in CAT (0) spaces has been introduced ,and ,under certain conditions ,a multi-mixed Agarwal-O'Regan-Sahu type iterative scheme has been studied and the Δ-convergence and strong convergence of the sequence proved for the fi-nite family of total asymptotically nonexpansive mappings .