Open AccessON SOME PROJECTION METHODS FOR THE SOLUTION OF NONLINEAR EQUATIONS WITH NONDIFFERENTIABLE OPERATORS
Author(s) -
Ioannis K. Argyros
Publication year - 1993
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.24.1993.4466
Subject(s) - mathematics , iterated function , banach space , nonlinear system , operator (biology) , projection (relational algebra) , mathematical analysis , space (punctuation) , pure mathematics , algorithm , computer science , physics , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , operating system
We consider a nonlinear equation with a nondifferentiable operator in a Banach space. We approximate a solution of the nonlinear equation using an iteration, whose iterates can be obtained by solving a certain operator equation in a finite dimensional space.