The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory

被引：0

作者：

Osilike, Micha O. ^{[1
]}

Ofoedu, Eric U. ^{[2
]}

Attah, Felix U. ^{[3
]}

机构：

[1] Univ Nigeria, Dept Math, Nsukka, Nigeria

[2] Nnamdi Azikiwe Univ, Dept Math, Awka, Nigeria

[3] Akanu Ibiam Fed Polytech, Dept Maths Stat, Unwana, Nigeria

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

steepest descent method; monotone; equilibrium problems; gradient projection algorithm; pseudocontractive mapping; variational inequality; ITERATIVE ALGORITHMS; EXTRAGRADIENT METHOD;

D O I：

10.1186/1687-1812-2014-156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we combine the gradient projection algorithm and the hybrid steepest descent method and prove the strong convergence to a common element of the equilibrium problem; the null space of an inverse strongly monotone operator; the set of fixed points of a continuous pseudocontractive mapping and the minimizer of a convex function. This common element is proved to be the unique solution of a variational inequality problem.

引用

页数：24

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