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 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.
- best proximity point
- fixed point
- controlled proximal contraction.
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