Theoretical analysis demonstrates conditions for the existence and uniqueness of coupled best proximity points in p-cyclic contractions, expanding generalized fixed point theory.
We generalize the notion of coupled fixed (or best proximity) points for cyclic ordered pairs of maps to p-cyclic ordered pairs of maps. We find sufficient conditions for the existence and uniqueness of the coupled fixed (or best proximity) points. We illustrate the results with an example that covers a wide class of maps.
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Hristov et al. (2021) studied this question.
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