Fixed point theorems under Pata-type conditions in metric spaces

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

• Fixed point
• Chatterjea-type maps
• Common fixed point
• Coupled fixed point
• Pata-type condition