A Modified Mann Algorithm For Solving Convex Minimization And Fixed Point Problems With Composed Nonlinear Operators

被引：0
|
作者：
Sow, Thierno Mohamadane Mansour [1 ]
Djitte, Ngalla [2 ]
El Yekheir, Yahya Baba [2 ]
机构：
[1] Amadou Mahtar Mbow Univ, Dakar, Senegal
[2] Gaston Berger Univ, Dept Math, St Louis, Senegal
来源：
APPLIED MATHEMATICS E-NOTES | 2020年 / 20卷
关键词：
STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; ITERATION; WEAK;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to introduce and study an iterative algorithm, which is based on the Krasnoselskii-Mann iterative method and the gradient-projection algorithm for solving a constrained convex minimization problem and fixed point problem with quasi-nonexpansive and firmly nonexpansive mappings in a real Hilbert space. Finally, we apply our main result for finding a common solution of convex minimization problem,fixed point problem and equilibrium problem. Essentially, a new approach for solving some nonlinear problems is provided.
引用
收藏
页码：462 / 475
页数：14
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