# Critical fixed point theorems in Banach algebras under weak topology features

Document Type : Research Paper

Authors

Department of Mathematics‎, ‎Sfax University‎, ‎Faculty of Sciences‎, ‎Sfax‎, ‎ LA 1171‎, ‎3000‎, ‎Tunisia.

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 $\frac{I-C}{A}$ allows to be noninvertible. In addition, a special class of Banach algebras will be considered.

Keywords

Main Subjects

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### History

• Receive Date: 28 October 2014
• Revise Date: 02 December 2015
• Accept Date: 25 February 2016