Common fixed point theorem for generalized θ-φ contraction in E-metric spaces

Abstract

In this paper, a common fixed point theorem for generalized θ-φ contraction map in E-metric space is proved. The result presented in this paper extend and improve the corresponding result of Ćirić [Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (1971), 19-26]. We also present an illustrated example in support of our result. As application, we give a homotopy results for operators on a set endowed with E-metric space.