Iterative Approximation of Solution of Split Variational Inclusion Problem

被引：10

作者：

Ezeora, Jeremiah Nkwegu ^{[1
]}

Izuchukwu, Chinedu ^{[2
]}

机构：

[1] Univ Port Harcourt, Dept Math & Stat, Port Harcourt, Nigeria

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

来源：

FILOMAT | 2018年 / 32卷 / 08期

关键词：

Monotone variational inclusion problem; variational inequality problem; convex minimization problem; strictly pseudocontractive mapping; maximal monotone mapping; STRICT PSEUDO-CONTRACTIONS; FIXED-POINTS; CONVERGENCE THEOREMS; ALGORITHMS; SETS; PROJECTION; EXISTENCE; MAPPINGS; WEAK;

D O I：

10.2298/FIL1808921E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following recent important results of Moudafi [Journal of Optimization Theory and Applications 150(2011), 275-283] and other related results on variational problems, we introduce a new iterative algorithm for approximating a solution of monotone variational inclusion problem involving multi-valued mapping. The sequence of the algorithm is proved to converge strongly in the setting of Hilbert spaces. As application, we solved split convex optimization problems.

引用

页码：2921 / 2932

页数：12

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