On best proximity points for various $\alpha$-proximal contractions on metric-like spaces :

Aydi, Hassen¹ ; Felhi, Abdelbasset²

¹ Department of Mathematics, College of Education of Jubail, University of Dammam, P. O. 12020, Industrial Jubail 31961, Saudi Arabia;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
² Department of Mathematics, College of Sciences, King Faisal University, Al-Hassa, Saudi Arabia

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5202-5218

Résumé

We establish some best proximity points for various $\alpha$-proximal contractive non-self-mappings in the class of metric-like spaces. We provide concrete examples. We also present some best proximity point theorems in metric (metric-like) spaces endowed with a graph and in partially ordered metric spaces.

Détail

DOI : 10.22436/jnsa.009.08.06

Classification : 54H25, 54E40, 54F05
Keywords: Metric-like, best proximity point, fixed point, controlled proximal contraction.

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