Coupled common fixed point results under new nonlinear contractions in ordered G-metric spaces

Manish Jain1,2,*, Neetu Gupta2 and Sanjay Kumar3

doi:10.26637/MJM0S01/02

Coupled common fixed point results under new nonlinear contractions in ordered G-metric spaces

Authors :

Manish Jain^1,2,*, Neetu Gupta² and Sanjay Kumar³

Author Address :

¹Department of Mathematics, Ahir College, Rewari 123401, India.
²Department of Mathematics, YMCAUST, Faridabad, India.
³Department of Mathematics, DCRUST, Murthal, Sonepat, India.

*Corresponding author.

Abstract :

The present paper deals with the establishment of some coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric spaces. The mappings considered are commutative. Present study enrich as well as generalize the very recent works present in [15, 21, 22, 23, 24]. The work is furnished with suitable illustrations.

Keywords :

Partially ordered set, G-metric spaces, coupled coincidence point, coupled common fixed point, mixed monotone mappings.

DOI :

10.26637/MJM0S01/02

Article Info :

Received : December 24, 2017; Accepted : January 21, 2018.