A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces

被引：2

作者：

Cholamjiak, Watcharaporn ^{[1
]}

Khan, Suhel Ahmad ^{[2
]}

Suantai, Suthep ^{[3
]}

机构：

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

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

[3] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2019年 / 10卷 / 02期

关键词：

Inertial method; Inclusion problem; SP-iteration; Forward-backward algorithm; Split equilibrium problem; STRONG-CONVERGENCE THEOREMS; MAXIMAL MONOTONE-OPERATORS; FIXED-POINTS; GENERALIZED EQUILIBRIUM; NONEXPANSIVE-MAPPINGS; PROXIMAL METHOD; ALGORITHMS; WEAK; SUM;

D O I：

10.26713/cma.v10i2.1074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a modified inertial forward-backward splitting method for solving the split equilibrium problem and the inclusion problem. Then we establish the weak convergence theorem of the proposed method. Using the shrinking projection method, we obtain strong convergence theorem. Moreover, we provide some numerical experiments to show the efficiency and the comparison.

引用

页码：191 / 213

页数：23

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