A new iterative method for a common solution of fixed points for pseudo-contractive mappings and variational inequalities

被引：0

作者：

Tanom Chamnarnpan

Poom Kumam

机构：

[1] King Mongkut's University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science

来源：

Fixed Point Theory and Applications | / 2012卷

关键词：

monotone mapping; nonexpansive mapping; pseudo-contractive mappings; variational inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, we introduce a new iterative scheme for finding a common element of the set of fixed points for a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by continuous monotone mappings. Strong convergence for the proposed iterative scheme is proved. Our results improve and extend some recent results in the literature.

引用

共 50 条

[1] A new iterative method for a common solution of fixed points for pseudo-contractive mappings and variational inequalities
Chamnarnpan, Tanom
Kumam, Poom
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[2] New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities
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[J]. Fixed Point Theory and Applications, 2013
[3] New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[4] Variational inequalities for Φ-pseudo-contractive mappings
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[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 477 - 484
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[9] ITERATIVE APPROXIMATION OF FIXED-POINTS OF LIPSCHITZIAN STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (02) : 283 - 288
[10] An iterative algorithm for common fixed points for nonexpansive semigroups and strictly pseudo-contractive mappings with optimization problems
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[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 56 (04) : 1563 - 1589

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