COMMON FIXED POINTS OF TWO FINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN KOHLENBACH HYPERBOLIC SPACES

被引：0

作者：

Gunduz, Birol ^{[1
]}

Khan, Safeer Hussain ^{[2
]}

Akbulut, Sezgin ^{[3
]}

机构：

[1] Erzincan Univ, Fac Sci, Dept Math, TR-24000 Erzincan, Turkey

[2] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

[3] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2015年

关键词：

Hyperbolic space; Nonexpansive map; Common fixed point; iterative process; Semi-compactness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a two-step iterative process for two finite families of nonexpansive mappings in a hyperbolic space defined by Kohlenbach. Strong and Delta-convergence theorems are established for this two-step iterative process being used for the first time in hyperbolic spaces.

引用

页数：13

共 50 条

[41] Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
Shahzad, Naseer
Udomene, Aniefiok
[J]. FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[42] Strong convergence to common fixed points of a finite family of nonexpansive mappings
Liou, Yeong-Cheng
Yao, Yonghong
Kimura, Kenji
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)
[43] Iterative approximation of common fixed points for two quasi-φ-nonexpansive mappings in Banach spaces
Zhou, Haiyun
Gao, Xinghui
[J]. MATHEMATICAL COMMUNICATIONS, 2012, 17 (01) : 49 - 62
[44] Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings
Yeong-Cheng Liou
Yonghong Yao
Kenji Kimura
[J]. Journal of Inequalities and Applications, 2007
[45] APPROXIMATING COMMON FIXED POINTS OF TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
Yildirim, Isa
Ozdemir, Murat
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (01): : 19 - 30
[46] Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
Naseer Shahzad
Aniefiok Udomene
[J]. Fixed Point Theory and Applications, 2006
[47] FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
Golkar, F.
Dianatifar, A.
Aminpour, A. M.
Sadeghi, M.
[J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (04): : 295 - 303
[48] A Class of New General Iteration Approximation of Common Fixed Points for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces
Xiong, Ting-jian
Lan, Heng-you
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (06) : 1120 - 1136
[49] Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces
Ali B.
[J]. Fixed Point Theory and Applications, 2016 (1)
[50] A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces
Gunduz B.
Akbulut S.
[J]. Mathematical Sciences, 2016, 10 (1-2) : 55 - 61

← 1 2 3 4 5 →