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Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications

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Laboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca 20700, Morocco
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CRMEF, Avenue Allal El Fassi, Madinat Al Irfan, B.P 6210, Rabat 10000, Morocco
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Axioms 2019, 8(4), 130; https://doi.org/10.3390/axioms8040130
Received: 12 September 2019 / Revised: 26 October 2019 / Accepted: 5 November 2019 / Published: 14 November 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
In this paper, we prove some fixed point theorems for the nonlinear operator A · B + C in Banach algebra. Our fixed point results are obtained under a weak topology and measure of weak noncompactness; and we give an example of the application of our results to a nonlinear integral equation in Banach algebra. View Full-Text
Keywords: Banach algebras; fixed point theorems; measure of weak noncompactness; weak topology; integral equations Banach algebras; fixed point theorems; measure of weak noncompactness; weak topology; integral equations
MDPI and ACS Style

Farid, M.A.; Chaira, K.; Marhrani, E.M.; Aamri, M. Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications. Axioms 2019, 8, 130.

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