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Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations
Author(s) -
Kaddachi Najib,
Jeribi Aref,
Krichen Bilel
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2615
Subject(s) - mathematics , fixed point theorem , operator (biology) , regular polygon , banach space , fixed point , bounded function , block (permutation group theory) , finite rank operator , pure mathematics , nonlinear system , c0 semigroup , strictly singular operator , discrete mathematics , mathematical analysis , combinatorics , quasinormal operator , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , transcription factor , gene
In this paper, we study some fixed point theorems of a 2 × 2 block operator matrix defined on nonempty bounded closed convex subsets of Banach algebras, where the entries are nonlinear operators. Furthermore, we apply the obtained results to a coupled system of nonlinear equations. Copyright © 2012 John Wiley & Sons, Ltd.