On a fixed point for generalized contractions in generalized metric spaces (Q448641)

Summary: \textit{H. Lakzian} and \textit{B. Samet} [Appl. Math. Lett. 25, No. 5, 902--906 (2012; Zbl 1241.54034)] studied some fixed-point results in generalized metric spaces in the sense of Branciari. In this paper, we study the existence of fixed-point results of mappings satisfying generalized weak contractive conditions in the framework of a generalized metric space in sense of Branciari. Our results modify and generalize the results of Laksian and Samet, as well as, our results generalize several well-known comparable results in the literature.