On best proximity points for various \(\alpha\)-proximal contractions on metric-like spaces
- 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.
- Department of Mathematics, College of Sciences, King Faisal University, Al-Hassa, Saudi Arabia.
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.
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Hassen Aydi, Abdelbasset Felhi, On best proximity points for various \(\alpha\)-proximal contractions on metric-like spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 5202--5218
Aydi Hassen, Felhi Abdelbasset, On best proximity points for various \(\alpha\)-proximal contractions on metric-like spaces. J. Nonlinear Sci. Appl. (2016); 9(8):5202--5218
Aydi, Hassen, Felhi, Abdelbasset. "On best proximity points for various \(\alpha\)-proximal contractions on metric-like spaces." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 5202--5218
- best proximity point
- fixed point
- controlled proximal contraction.
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