Research reveals common best proximity points for discontinuous mappings in metric spaces, suggesting new insights in mathematical mapping theory.
In this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally reciprocal and weak reciprocal mappings, and R-proximally weak reciprocal commuting mappings of type I and type II. We have given examples to validate our findings.
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Zhao et al. (2025) studied this question.
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