Abstract
An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence type in ordered Banach spaces. Applications are given for semilinear problems in \(C(\overline{\Omega};\mathbb{R}^k)\) and \(L^p(\Omega;\mathbb{R}^k)\).
Authors
Adriana Buica
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
generalized quasilinearization; monotone iterative technique; upper and lower solutions; quadratic convergence; coincidence; ordered Banach space.
Paper coordinates
A. Buica, R. Precup, Abstract generalized quasiliniarization method for coincidences, Nonlinear Stud., 9 (2002), 371-387.
About this paper
Journal
Nonlinear Studies
Publisher Name
DOI
Print ISSN
Online ISSN
MR 1940557, Zbl 1020.65031
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