Document Type : Research Paper
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.