A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A

Abstract

In view of the fact that the fixed point theory provides an efficient tool in many fields of pure and applied sciences, we use the notion of the property E.A to prove a common fixed point theorem for weakly compatible mappings. The presented results are applied to obtain the solution of an integral equation and the bounded solution of a functional equation arising in dynamic programming. MSC: 47H10, 54H25. © 2013 Manro et al.; licensee Springer.