Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras

Author:

Chaira K.1,Chaira S.2,Lazaiz S.3ORCID

Affiliation:

1. L3A Laboratory, Department of Mathematics and Computer Sciences, Faculty of Sciences Ben M'sik, University of Hassan II Casablanca, Morocco

2. Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University Hassan II Casablanca, Morocco

3. LASMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco

Abstract

In this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.

Publisher

Hindawi Limited

Subject

Analysis

Reference21 articles.

1. Fixed points of the product of operators in banach algebra;J. Banaś;Panamerican Mathematical Journal,2002

2. On a Class of Measures of Noncompactness in Banach Algebras and Their Application to Nonlinear Integral Equations

3. Solutions of some functional-integral equations in Banach algebra

4. A fixed point theorem in banach algebras involving three operators with applications;B. C. Dhage;Kyungpook Mathematical Journal,2004

5. On a fixed point theorem in Banach algebras with applications

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