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

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