The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces

被引：1

作者：

Abkar, Ali ^{[1
]}

Shahrosvand, Elahe ^{[1
]}

Azizi, Azizollah ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Qazvin 34149, Iran

来源：

MATHEMATICS | 2017年 / 5卷 / 01期

关键词：

split common fixed point problem; totally asymptotically strictly pseudocontractive mapping; quasinonexpansive mapping; k-quasi-strictly pseudocontractive mapping; STRONG-CONVERGENCE; NONEXPANSIVE-MAPPINGS; FEASIBILITY PROBLEM; OPERATORS; ALGORITHM;

D O I：

10.3390/math5010011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi-phi-asymptotically nonexpansive mappings and k-quasi-strictly pseudocontractive mappings in the setting of Banach spaces. Our results improve and extend the results of Tang et al., Takahashi, Moudafi, Censor et al., and Byrne et al.

引用

页数：18

共 28 条

[1]

Alber Y.I., 1996, LECT NOTES PURE APPL, P15

[2] Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings [J].