Open AccessON SOME PROJECTION METHODS FOR APPROXIMATING FIXED POINTS OF NONLINEAR EQUATIONS IN BANACH SPACE
Author(s) -
Ioannis K. Argyros
Publication year - 1990
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.21.1990.4682
Subject(s) - mathematics , banach space , iterated function , fixed point , projection (relational algebra) , nonlinear system , fixed point theorem , algebraic equation , order (exchange) , mathematical analysis , pure mathematics , algorithm , physics , finance , quantum mechanics , economics
We use a Newton-like method to approximate a fixed point of a non- linear operator equation in a Banach space. Our iterates are computed at each step by solving a linear algebraic system of finite order.