On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces

被引：4

作者：

Argyros, Ioannis K. ^{[3
]}

Cho, Yeol Je ^{[1
,2
]}

Qin, Xiaolong ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[4] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 233卷 / 02期

关键词：

Strictly pseudo-contractive mapping; Non-expansive mapping; Common fixed point; Banach space; COMMON FIXED-POINTS; FINITE FAMILY; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; LIPSCHITZ PSEUDOCONTRACTIONS; MAPS;

D O I：

10.1016/j.cam.2009.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a composite implicit iterative process for an infinite family of strictly pseudo-contractive mappings. Strong convergence theorems are established in an arbitrary real Banach space. The results presented in this paper improve and extend the recent ones announced by many others. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：208 / 216

页数：9

共 50 条

[1] An explicit iterative algorithm for k-strictly pseudo-contractive mappings in Banach spaces
Fan, Qinwei
Wang, Xiaoyin
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (07): : 5021 - 5028
[2] Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces
Yu Zhou
Haiyun Zhou
Peiyuan Wang
[J]. Journal of Inequalities and Applications, 2014
[3] Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces
Zhou, Yu
Zhou, Haiyun
Wang, Peiyuan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[4] IMPLICIT AND EXPLICIT METHODS FOR FINDING FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES
Yao, Yonghong
Shahzad, Naseer
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (01) : 183 - 194
[5] ITERATIVE METHODS FOR STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
Yang, Liu
Yan, Hao
[J]. MEASUREMENT TECHNOLOGY AND ENGINEERING RESEARCHES IN INDUSTRY, PTS 1-3, 2013, 333-335 : 1402 - +
[6] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR λ-STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN HILBERT SPACES
Li, Mengqin
Yao, Yonghong
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 219 - 228
[7] Ishikawa iterative process with mixed errors for Lipschitzian and strongly pseudo-contractive mappings in Banach spaces
Kang, SM
Zhou, HY
Cho, YJ
[J]. FIXED POINT THEORY AND APPLICATIONS, VOL 3, 2002, : 99 - 111
[8] A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces
Huang, NJ
Bai, MR
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (06) : 7 - 15
[9] Convergence of paths for pseudo-contractive mappings in Banach spaces
Morales, CH
Jung, JS
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (11) : 3411 - 3419
[10] Convergence theorems of the Ishikawa iterative scheme for asymptotically pseudo-contractive mappings in Banach spaces
Chang, SS
Park, JY
Cho, YJ
Jung, IH
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2004, 6 (04) : 313 - 322

← 1 2 3 4 5 →