Convergence Theorems for a Finite Family of I-asymptotically Nonexpansive Mappings in Banach Spaces

被引:0
|
作者
Gunduz, Birol [1 ]
Akbulut, Sezgin [2 ]
机构
[1] Erzincan Univ, Fac Sci & Art, Dept Math, Erzincan, Turkey
[2] Ataturk Univ, Dept Math, Fac Sci, Erzurum, Turkey
来源
CHIANG MAI JOURNAL OF SCIENCE | 2017年 / 44卷 / 03期
关键词
I-asymptotically nonexpansive mapping; opial condition; Kadec-Klee property; frechet differentiable norm; B condition; common fixed point; APPROXIMATING FIXED-POINTS; ITERATION PROCESS; WEAK;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, a new two-step iterative scheme for a finite family of I-i-asymptotically nonexpansive mapping {T-i}(i=1)(N) is constructed in a unformly in a convex Banach space. Weak and storng convergence theorems of this iterative scheme to a common fixed point of {T-i}(i=1)(N) and {I-i}(i=1)(N) are proved in a uniformly convex Banach space.
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页码:1144 / 1153
页数:10
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