Research Communication | Open Access
Volume 2019 | Communication ID 167
Volume 2019 | Communication ID 167
| SOME GENERALISED FIXED POINT THEOREMS IN A PARTIALLY ORDERED SPACE ENDOWED WITH TWO METRICS |
Rida Outass, Karim Chaira, El-Miloudi Marhrani
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In 2008, Suzuki [1] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. In this paper, we use Suzuki-type contractions to prove some fixed point theorems for generalized contraction in an ordered space equipped with two metrics. These theorems are generalizations of fixed point theorem due to Kannan [2]. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings [3], Nieto and Rodríguez-López [4].