Weak and Strong Convergence Results for the Modified Noor Iteration of Three Quasi-Nonexpansive Multivalued Mappings in Hilbert Spaces

被引：1

作者：

Chaolamjiak, Watcharaporn ^{[1
]}

Khan, Suhel Ahmad ^{[2
]}

Hammad, Hasanen A. ^{[3
]}

Dutta, Hemen ^{[4
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[2] BITS Pilani, Dept Math, Dubai Campus,POB 345055, Dubai, U Arab Emirates

[3] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[4] Gauhati Univ, Dept Math, Gauhati 781014, India

来源：

FILOMAT | 2020年 / 34卷 / 08期

关键词：

Weak and strong convergence; Quasi-nonexpansive multivalued mapping; Noor-iteration; inertial technical term; CQ and shrinking projection methods; MAXIMAL MONOTONE-OPERATORS; FIXED-POINT THEOREMS; NONLINEAR MAPPINGS; PROJECTION; APPROXIMATION; ALGORITHM;

D O I：

10.2298/FIL2008495C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper aims to present an advanced algorithm by taking help of the Noor-iteration scheme along with the inertial technical term for three quasi-nonexpansive multivalued in Hilbert spaces. A weak convergence theorem under certain conditions has been given and added the CQ and shrinking projection methods to our algorithm to obtain certain strong convergence results. Furthermore, numerical experiments are provided by constructing an example and comparison results have also been incorporated.

引用

页码：2495 / 2510

页数：16

共 50 条

[41] Weak and strong convergence criteria of modified Noor iterations for asymptotically nonexpansive mappings in the intermediate sense
Banerjee, Shrabani
Choudhury, Binayak Samadder
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 493 - 506
[42] CONVERGENCE OF MODIFIED S-ITERATION PROCESS FOR TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CAT(0) SPACES
Saluja, G. S.
DEMONSTRATIO MATHEMATICA, 2016, 49 (01) : 107 - 118
[43] Strong convergence theorems for generalized asymptotically quasi-nonexpansive mappings
Zhao J.
He S.
Liu G.
Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 53 - 64
[44] Convergence of Ishikawa type iteration process for three quasi-nonexpansive mappings in a convex metric space
Fukhar-ud-din, Hafiz
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2015, 23 (02): : 83 - 92
[45] On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings
Cai, Gang
Hu, Chang song
APPLIED MATHEMATICS LETTERS, 2010, 23 (01) : 73 - 78
[46] SPLIT FIXED POINT PROBLEMS FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES
Sharma, Shagun
Chandok, Sumit
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (01): : 109 - 118
[47] The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces
Wangkeeree, Rabian
Boonman, Panatda
JOURNAL OF APPLIED MATHEMATICS, 2012,
[48] SPLIT FIXED POINT PROBLEMS FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES
Sharma, Shagun
Chandok, Sumit
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (01): : 109 - 118
[49] CONVERGENCE OF AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES
Saluja, Gurucharan Singh
Nashine, Hemant Kumar
OPUSCULA MATHEMATICA, 2010, 30 (03) : 331 - 340
[50] Fixed point approximation of multivalued ρ-quasi-nonexpansive mappings in modular function spaces
Khan, Safeer Hussain
Abbas, Mujahid
Ali, Sartaj
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3168 - 3179

← 1 2 3 4 5 →