We initiate the notion of generalized MT- cyclic contraction mappings with respect to an auxiliary function φ and investigate the existence of a best proximity point of such mappings in the setting of metric spaces. We also prove the uniqueness of a fixed point, when we assume an additional condition, named as: property UC. Moreover, we discuss the existence and uniqueness of a fixed point of MT-cyclic orbital contractions in the context of (b-metric) metric spaces.
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Aydi et al. (2020) studied this question.
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