Existence of Coupled Best Proximity Points of <i>p</i>-Cyclic Contractions
Miroslav Hristov,
Atanas Ilchev,
Diana Nedelcheva,
Boyan Zlatanov
Affiliations
Miroslav Hristov
Department of Mathematical Analysis, Faculty of Mathematics and Informatics, Konstantin Preslavsky University of Shumen, 115, Universitetska St, 9700 Shumen, Bulgaria
Atanas Ilchev
Department of Real Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
Diana Nedelcheva
Department of Mathematics, Technical University of Varna, 1, Studentska Str., 9000 Varna, Bulgaria
Boyan Zlatanov
Department of Real Analysis, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
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.
