1Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India
2Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India
3Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur-208016, India
4Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India
*Corresponding author Email: anupam@iitk.ac.in
In this paper, we establish n-tupled coincidence point theorems for a pair of mappings satisfying a nonlinear contractivity condition in partially ordered complete metric spaces. Our results extend and generalize several existing results in the literature: [Bhaskar and Lakshmikan-tham: Nonlinear Anal. 65(7) (2006), 1379–1393], [Lakshmikantham, and Ćirić: Nonlinear Anal. 70 (2009), 4341–4349], [Berinde and Borcut: Nonlinear Anal. 74(15) (2011), 4889–4897], [Borcut and Berinde: App. Math. Comp. 218(10) (2012), 5929–5936], [Borcut: App. Math. Comp. 218(14) (2012), 7339–7346], [Borcut: HJMC], [Gordji and Ramezani: preprint].
47H10, 54H25, Partially ordered metric space, nonlinear Ψ-contraction, MCB property, n-tupled coincidence point
