Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces

By Vasile Berinde, Marin Borcut. 2011

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Coupled best proximity point theorem in metric Spaces (2012, background): “Very recently, Berinde and Borcut [9] introduced the notions of tripled fixed point.”
Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions (2013, background): “Later, Berinde andBorcut [7] introduced the concept of tripled fixed point and proved tripled fixed-point theorems using mixed monotone mappings (see also [8–10]).”
Discussion on Generalized-(αψ, β)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems (2014, background): “[4] V. Berinde and M. Borcut, “Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol. 74, no. 15, pp. 4889–4897, 2011.”
Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces (2013, background): “If one represents a mapping 𝜎 : Λ 𝑛 → Λ 𝑛 throughout its ordered image, that is, 𝜎 = (𝜎(1), 𝜎(2), . . . , 𝜎(𝑛)), then (i) Gnana-Bhaskar and Lakshmikantham’s election in 𝑛 = 2 is 𝜎 1 = 𝜏 = (1, 2) and 𝜎 2 = (2, 1); (ii) Berinde and Borcut’s election in 𝑛 = 3 is 𝜎 1 = 𝜏 = (1, 2, 3), 𝜎 2”