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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 14 Nov 2019 English Publisher:MDPI AGJournal:Axioms, volume 8, page 130 (eissn: 2075-1680,

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Authors: Mohamed Amine Farid; Karim Chaira; El Miloudi Marhrani; Mohamed Aamri;

doi: 10.3390/axioms8040130

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

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Abstract

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.

Related Organizations

Université Hassan II Mohammedia
Morocco

Keywords

weak topology, integral equations, measure of weak noncompactness, Banach algebras, fixed point theorems

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