A Study on p-Cyclic Orbital Geraghty type Contractions
Keywords:p-cyclic maps, Orbital contraction, Geraghty type contraction.
Consider a metric space and the non empty sub sets, of X. A map called p-cyclic orbital Geraghty type of contraction is introduced. Convergence of a unique fixed point and a best proximity point for this map is obtained in a uniformly convex Banach space setting. Also, this best proximity point is the unique periodic point of such a map.
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