An iterative algorithm for fixed point problem and convex minimization problem with applications

被引：0

作者：

Gang Cai

Yekini Shehu

机构：

[1] Chongqing Normal University,College of Mathematics Science

[2] University of Nigeria,Department of Mathematics

来源：

Fixed Point Theory and Applications | / 2015卷

关键词：

convex minimization problem; -strictly pseudo contractive mapping; strong convergence; Hilbert spaces; 47H06; 47H09; 47J05; 47J25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we prove the strong convergence of an iterative sequence for finding a common element of the fixed points set of a strictly pseudocontractive mapping and the solution set of the constrained convex minimization problem for a convex and continuously Fréchet differentiable functional in a real Hilbert space. We apply our result to solving the split feasibility problem and the convexly constrained linear inverse problem involving the fixed point problem for a strictly pseudocontractive mapping in a real Hilbert space.

引用

共 50 条

[1] An iterative algorithm for fixed point problem and convex minimization problem with applications
Cai, Gang
Shehu, Yekini
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015,
[2] An iterative algorithm for approximating convex minimization problem
Yao, Yonghong
Liou, Yeong-Cheng
Yao, Jen-Chih
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 648 - 656
[3] Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping
Yifen Ke
Changfeng Ma
[J]. Fixed Point Theory and Applications, 2014
[4] Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping
Ke, Yifen
Ma, Changfeng
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
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O. T. Mewomo
[J]. Computational and Applied Mathematics, 2019, 38
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Jolaoso, L. O.
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[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02):
[7] Reduction of a Minimization Problem of a Separable Convex Function Under Linear Constraints to a Fixed Point Problem
Krylatov A.Y.
[J]. Journal of Applied and Industrial Mathematics, 2018, 12 (1) : 98 - 111
[8] Fixed point algorithm based on adapted metric method for convex minimization problem with application to image deblurring
Chen, Dai-Qiang
Zhou, Yan
Song, Li-Juan
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2016, 42 (06) : 1287 - 1310
[9] Fixed point algorithm based on adapted metric method for convex minimization problem with application to image deblurring
Dai-Qiang Chen
Yan Zhou
Li-Juan Song
[J]. Advances in Computational Mathematics, 2016, 42 : 1287 - 1310
[10] Hybrid steepest iterative algorithm for a hierarchical fixed point problem
Husain S.
Singh N.
[J]. Fixed Point Theory and Applications, 2017 (1)

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