S-ITERATION PROCESS FOR VARIATIONAL INCLUSIONS AND ITS RATE OF CONVERGENCE

被引：0

作者：

Gursoy, Faik ^{[1
]}

Sahu, D. R. ^{[2
]}

Ansari, Q. H. ^{[3
,4
]}

机构：

[1] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey

[2] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 09期

关键词：

Variational inclusions; S-iterative process; strong convergence; rate of convergence; H-monotone operators; ALGORITHM;

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 propose and analyze a S-iteration process for solving a class of variational inclusions involving H-monotone operators. The strong convergence of proposed iteration process is proved and the rate of its convergence is established. A comparison of our method with some existing methods is also given.

引用

页码：1753 / 1767

页数：15

共 21 条

[1]

Agarwal RP, 2007, J NONLINEAR CONVEX A, V8, P61

[2] An iterative algorithm for generalized nonlinear variational inclusions [J].

Ahmad, R ;

Ansari, QH .

APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :23-26

[3] Generalized variational inclusions and generalized resolvent equations in Banach spaces [J].

Ahmad, R ;

Ansari, QH ;

Irfan, SS .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (11-12) :1825-1835

[4] Generalized variational inclusions and H-resolvent equations with h-accretive operators [J].

Ahmad, Rais ;

Ansari, Qamrul Hasan .

TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03) :703-716

[5]

[Anonymous], 2004, FINITE DIMENSIONAL V, DOI DOI 10.1007/B97543

[6]

Ansari Q. H., 2012, TOPICS NONLINEAR ANA

[7]

Ansari QH., 2014, Generalized convexity, nonsmooth variational inequalities and nonsmooth optimization

[8]

Berinde V., 2004, FIXED POINT THEORY A, V2, P97

[9]

FACCHINEI F, 2003, SPRING S OPERAT RES, P1

[10] H-monotone operator and resolvent operator technique for variational inclusions [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :795-803

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