Fixed point theorems under Pata-type conditions in metric spaces

Authors

1 University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia

2 University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Beograd, Serbia

10.1016/j.joems.2014.09.001

Abstract

In this paper, we prove a generalization of Chatterjea’s fixed point theorem, based on a
recent result of Pata. Also, we establish common fixed point results of Pata-type for two maps, as
well as a coupled fixed point result in ordered metric spaces. An example is given to show that new
results are different from the known ones.

Keywords