Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type

被引：18
|
作者：
Ofoedu, Eric U. [1 ]
Malonza, David M. [2 ]
机构：
[1] Nnamdi Azikiwe Univ, Dept Math, Awka, Anambra State, Nigeria
[2] Kenyatta Univ, Dept Math, Nairobi 4384400100, Kenya
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期
关键词：
Fixed point problems; Generalized mixed equilibrium problem; Hammerstein equations; Monotone operators; Uniformly convex and uniformly smooth; Banach spaces; Weak relatively nonexpansive mappings; RELATIVELY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; INTEGRAL-EQUATIONS; EQUILIBRIUM PROBLEM; MONOTONE-OPERATORS; BANACH-SPACES; INEQUALITIES;
D O I：
10.1016/j.amc.2010.12.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study hybrid iterative scheme for finding a common element of set of solutions of generalized mixed equilibrium problem, set of common fixed points of finite family of weak relatively nonexpansive mapping and null spaces of finite family of gamma-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. Our results extend, improve and generalize the results of several authors which are announced recently. Application of our theorem to solution of equations of Hammerstein-type is of independent interest. (C) 2011 Elsevier Inc. All rights reserved.
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页码：6019 / 6030
页数：12
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