Strong and ?-Convergence of a New Iteration for Common Fixed Points of Two Asymptotically Nonexpansive Mappings

被引：0

作者：

Dhiliban, J. Robert ^{[1
]}

Eldred, A. Anthony ^{[2
]}

机构：

[1] Arul Anandar Coll Autonomous, Dept Math, Madurai 625514, Tamilnadu, India

[2] Bharathidasan Univ, St Josephs Coll Autonomous, Dept Math, Tiruchirappalli 620002, Tamilnadu, India

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

asymptotically nonexpansive mapping; common fixed points; & UDelta; -convergence; hyperbolic; space; THEOREMS; CONSTRUCTION;

D O I：

10.28924/2291-8639-21-2023-62

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to study strong and ? -convergence of a newly defined iteration to a common fixed point of two asymptotically nonexpansive self mappings in a hyperbolic space framework. We provide an example and a comparison table to support our assertions.

引用

页数：13

共 50 条

[41] Strong convergence to common fixed points of nonexpansive mappings without commutativity assumption
Yao, Yonghong
Chen, Rudong
Zhou, Haiyun
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[42] COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME
Khan, Safeer Hussain
Kim, Jong Kyu
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (05) : 973 - 985
[43] COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A NEW ONE-STEP ITERATION PROCESS
Khan, S. H.
Abbas, M.
Khan, A. R.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2009, 33 (A3): : 249 - 257
[44] On common fixed points of asymptotically nonexpansive mappings in the intermediate sense
Huang, JC
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (04) : 1055 - 1063
[45] A New Iterative Algorithm for Approximating Common Fixed Points for Asymptotically Nonexpansive Mappings
HY Zhou
YJ Cho
SM Kang
Fixed Point Theory and Applications, 2007
[46] Approximation of Common Fixed Points of Family of Asymptotically Nonexpansive Mappings
Ofoedu, Eric U.
Zegeye, Habtu
Shahzad, Naseer
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 611 - 624
[47] On Common Fixed Points of Asymptotically Nonexpansive Mappings in the Intermediate Sense
Jui-Chi Huang
Czechoslovak Mathematical Journal, 2004, 54 : 1055 - 1063
[48] A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings
Zhou, H. Y.
Cho, Y. J.
Kang, S. M.
FIXED POINT THEORY AND APPLICATIONS, 2007,
[49] APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Safeer Hussain Khan
Mujahid Abbas
Analysis in Theory and Applications, 2011, 27 (01) : 76 - 91
[50] ITERATIVE APPROACHES TO COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Sahu, D. R.
Liu, Zeqing
Kang, Shin Min
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (01) : 281 - 304

← 1 2 3 4 5 →