Title of article
Critical fixed point theorems in Banach algebras under weak topology features
Author/Authors
Ben Amar ، A. - Sfax University , Tlili ، A. - Sfax University
Pages
21
From page
995
To page
1015
Abstract
In this paper, we establish some new critical fixed point theorems for the sum AB + C in a Banach algebra relative to the weak topology, where I−C/A is allowed to be non invertible. In addition, a special class of Banach algebras will be considered. As an application, our results are used to prove the existence of solutions for a nonlinear integral equation.
Keywords
Banach algebras , sequentially weakly continuous operators , weakly compact operators , fixed point theorems
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456086
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