Family of Occasionally Weakly Compatible Mappings with an Application in Dynamic Programming
Authors: Penumarthy P. Murthy, Kavita, Sanjey Kumar, Ersin Gilić
Keywords: (psi,fi)-weak contraction, Occasionally weakly compatible mappings, property (E.A), Functional equations, Dynamic programming
Abstract:
In this paper, we investigate the existence of a unique common fixed point of families of occasionally weakly compatiblemappings along with property(E.A) satisfying a generalized (psi,fi)-weak contraction condition involving cubic terms of distance function which generalize some known results. As an application, we discuss the existence and uniqueness of a common solution of certain functional equations arising in dynamic programming.
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