Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

被引：4

作者：

Bunyawat, Aunyarat

Suantai, Suthep ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 16期

关键词：

countable family; multivalued; quasi-nonexpansive mappings; common fixed point; one-step iterative; STRONG-CONVERGENCE; ISHIKAWA ITERATION; WEAK; MAPS; MANN;

D O I：

10.1080/00207160.2012.705280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control conditions.

引用

收藏

页码：2274 / 2279

页数：6

相关论文

共 17 条

[1] Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme [J].

Abbas, Mujahid ;

Khan, Safeer Hussain ;

Khan, Abdul Rahim ;

Agarwal, Ravi P. .

APPLIED MATHEMATICS LETTERS, 2011, 24 (02) :97-102

[2] FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].

ASSAD, NA ;

KIRK, WA .

PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (03) :553-562

[3]

Cholamjiak P, 2011, THAI J MATH, V9, P505

[4]

Cholamjiak W, 2011, BULL MATH ANAL APPL, V3, P110

[5] Approximation of common fixed points of two quasi-nonexpansive multi-valued maps in Banach spaces [J].

Cholamjiak, Watcharaporn ;

Suantai, Suthep .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) :941-949

[6]

Hu TY, 1997, INDIAN J PURE AP MAT, V28, P1091

[7] A new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappings [J].

Khan S.H. ;

Abbas M. ;

Rhoades B.E. .

Rendiconti del Circolo Matematico di Palermo, 2010, 59 (1) :151-159

[8] Fixed points of multivalued nonexpansive mappings in Banach spaces [J].

Khan, Safeer Hussain ;

Yildirim, Isa .

FIXED POINT THEORY AND APPLICATIONS, 2012, :1-9

[9] CONTINUOUS DEPENDENCE OF FIXED-POINT SETS [J].

MARKIN, JT .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (03) :545-547

[10] MULTI-VALUED CONTRACTION MAPPINGS [J].

NADLER, SB .

PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) :475-&