Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations. (31st July 2012)

• Record Type: Journal Article
• Authors: Kaddachi, Najib; Jeribi, Aref; Krichen, Bilel
• Is Part Of: Mathematical methods in the applied sciences. Volume 36:Number 6(2013:Apr. 15)
• Page Start: 659
• Page End: 673
• Publication Date: 2012-07-31
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2615
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2615-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2615-para-0001">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 &amp; Sons, Ltd.</p> </abstract>