Ergodic approximations via matrix regularization approach

Fixexd point theory and applications

Filomena Cianciaruso¹  Nawab Hussain²  Giuseppe Marino³ 

[1] della Calabria, Arcavacata di Rende, Italy;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Dipartimento di Matematica, Universitá

关键词: monotone variational inequality;    nonspreading mappings;    iterative method;    Cesaro means;    Toeplitz matrix;    47J20;    47J25;    49J40;    65J15;   

DOI  :  10.1186/s13663-015-0321-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we use a matrix approach to approximate solutions of variational inequalities in Hilbert spaces. The methods studied combine new or well-known iterative methods (as the original Mann method) with regularized processes that involve regular matrices in the sense of Toeplitz. We obtain ergodic type results and convergence.

【 授权许可】

CC BY