Critical fixed point theorems in Banach algebras under weak topology features

Document Type : Research Paper


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


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.


Main Subjects

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