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New theorem establishes necessary conditions for best proximity points in complete metric spaces, highlighting applications in analytic functions.
This paper proposes a best proximity point theorem for non-self mappings in complete metric spaces, providing necessary and sufficient conditions for their existence. A fixed point theorem is introduced as a corollary and these results are applied to analytic functions of a complex variable, showcasing their relevance to broader mathematical and applied contexts.
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Pant et al. (2025) studied this question.
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