Some coupled coincidence point theorems in partially ordered uniform spaces

Aris Aghanians; Donal O‘Regan; Kamal Fallahi; Kourosh Nourouzi

doi:10.4067/S0719-06462014000200007

Authors

Aris Aghanians Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Donal O‘Regan School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland.
Kamal Fallahi Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Kourosh Nourouzi Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.

DOI:

https://doi.org/10.4067/S0719-06462014000200007

Keywords:

Separated uniform space, Mixed g-monotone property, Coupled coincidence point

Abstract

In this paper we investigate the existence of coupled coincidence points for some contractions in partially ordered separated uniform spaces under the mixed g-monotone property. We generalize a known result in partially ordered metric spaces to uniform spaces and give new types of contractions and results in partially ordered uniform spaces.