title: Coupled fixed point theorems in G b -metric space satisfying some rational contractive conditions.
abstract: In this paper we prove the existence and uniqueness of couple fixed point theorems for three mappings satisfying some new rational contractive conditions. We prove our results in the frame work of G b -metric space which is recently introduced by Aghajani et al. (Filomat 28(6):1087-1101, 2014). Illustrative example is also given to support our result.
authors.affiliation: Department of Mathematics, NIT Manipur, 795004 Imphal, India.
authors.forename: Bulbul
authors.identifier: 0000-0002-9740-7776
authors.initials: B
authors.lastname: Khomdram
authors.affiliation: Department of Mathematics, NIT Manipur, 795004 Imphal, India.
authors.forename: Yumnam
authors.initials: Y
authors.lastname: Rohen
authors.affiliation: Department of Mathematics, NIT Manipur, 795004 Imphal, India.
authors.forename: Thokchom Chhatrajit
authors.initials: TC
authors.lastname: Singh
keywords: Common fixed points; Gb-metric space; Rational contractive