Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces

doi:10.1016/j.mcm.2011.05.059

Mathematical and Computer Modelling

Volume 54, Issues 9–10, November 2011, Pages 2443-2450

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Abstract

We prove coupled coincidence and coupled common fixed point theorems for a mixed $g$ -monotone mapping satisfying nonlinear contractions in partially ordered $G$ -metric spaces. Presented theorems are generalizations of the very recent results of Choudhury and Maity [B.S. Choudhury, P. Maity, Coupled fixed point results in generalized metric spaces, Math. Comput. Modelling 54 (1–2) (2011) 73–79].

Keywords

G

-metric space

Ordered set

Coupled coincidence point

Coupled common fixed point

Mixed monotone property

Cited by (0)

¹: The second author is supported by Grant No. 174025 of the Ministry of Science, Technology and Development, Republic of Serbia.