Open AccessA NEW APPROXIMATION ALGORITHM FOR FIXED POINTS OF NONEXPANSIVE MAPPINGS
Author(s) -
Yongfu Su,
Ravi P. Agarwal
Publication year - 2010
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2010.15.257-264
Subject(s) - mathematics , banach space , fixed point , discrete mathematics , approximation error , algorithm , pure mathematics , mathematical analysis
The aim of this paper is to establish a new approximation algorithm for fixed points of nonexpansive mappings in general Banach spaces and to illustrate some numerical results. The approximation algorithm we shall discuss is xt,n = (tT) n x0, where x0 ∈ D(T) is arbitrary, n is a natural number, and t ∈ (0,1). We shall also provide some numerical error estimates.