Existence of common best proximity point for single and multivalued non-self mappings

 Pragadeeswarar, V.  and  Gopi, R.

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In this article, we introduce a new concept called proximal E. A property for single and multivalued mappings. We prove existence of proximally coincidence point for such class of mappings. We provide interesting example which illustrates our main results. Finally, we provide sufficient condition for existence of common best proximity point for this class of mappings.

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 Gopi, R.,  Pragadeeswarar, V.