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On existence and uniqueness of best proximity points for proximal β-quasi contractive mappings on metric spaces
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Date
2021
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Abstract
This paper focus on the study of the generalization of the best proximity
point theorems for non-self contractions. In fact we propose two new theorems on the
existence and the uniqueness of best proximity points for proximal β-quasi contractive
mappings on metric spaces . The presented theorems extend and generalize the existence
and the uniqueness of best proximity points for proximal contraction done by S.Basha
and quasi-contraction mappings performed by Jleli and Samet.