BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS |
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| Authors: | Moosa GABELEH |
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| Institution: | Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran |
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| Abstract: | We study the existence of best proximity points for single-valued non-self mappings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results. |
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| Keywords: | best proximity point fixed point P-property |
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