Best proximity point theorems for generalized α-β-proximal quasi-contractive mappings
نویسنده
چکیده
*Correspondence: [email protected] Department of Mathematics and Computer Science, Institut National Des Sciences Appliquée et de Technologie de Tunis, Carthage University, Centre Urbain Nord BP 676, Tunis, 1080, Tunisia Abstract Herein, we search for some best proximity point results for a novel class of non-self-mappings T : A−→ B called generalized proximal α-β-quasi-contractive. We illustrate our work by an example. Our results generalize and extend many recent results appearing in the literature. Several consequences are derived. As applications, we explore the existence of best proximity points for a metric space endowed with symmetric binary relation.
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