Some fixed point results on generalized metric spaces

In this paper, generalized metric spaces are introduced as a common generalization of tvs-cone metric spaces, partial metric spaces and b-metric spaces, and a unified approach is proposed to some fixed point results by using generalized metric spaces. Specifically, Banach's contraction principle and Kannan type fixed point theorem, as well as other types fixed point results on generalized metric spaces are given, respectively. Keywords: fixed point; mapping; complete; generalized metric space; tvs-cone metric space Mathematics Subject Classification: 54E40, 54H25, 47H10