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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom