Chebyshev's approximation algorithms and applications
We introduce a new family of multipoint methods to approximate a solution of a nonlinear operator equation in Banach spaces. An existence-uniqueness theorem and error estimates are provided for these iterations using a technique based on a new system of recurrence relations. To finish, we apply the results obtained to some nonlinear integral equations of the Fredholm type. (C) 2001 Elsevier Science Ltd. All rights reserved.
recurrence relations multipoint iteration a priori error bounds