Riv. Mat. Univ. Parma, Vol. 12, No. 2, 2021

Karim Chaira [a], Soumia Chaira [b] and Samih Lazaiz [c]

Best proximity point theorems in Banach Algebras
Pages: 245-266
Accepted in revised form: 8 April 2021
Mathematics Subject Classification: 47H08, 47H09, 47H10, 54H25.
Keywords: Weakly sequentially continuous, Weakly condensing, Measure of weak noncompactness, Best proximity point, Relatively nonexpansive.
[a]: L3A Laboratory, Department of Mathematics and Computer Sciences, Faculty of Sciences Ben M'sik, University of Hassan II Casablanca, Morocco.
[b]: Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies Mohammedia, University Hassan II Casablanca, Morocco.
[c]: LaSMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco.

Abstract: The aim of this paper is to obtain best proximity point theorems for weakly sequentially continuous mappings in Banach algebras. An example has also been given to support the usability of our results.

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