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

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Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces (2009, background): “Recently there have been so many exciting developments in the field of existence of fixed point in partially ordered sets (see [6–16] and the references cited therein).”
A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations (2012, background): “The existence of a fixed point, a common fixed point and a couple fixed point for some kinds of contraction type mappings in cone metric spaces, partially ordered metric spaces and fuzzy metric spaces has been considered recently by some authors [1-28] and, by using fixed point theorems, some of the”
Monotone generalized contractions in partially ordered probabilistic metric spaces (2009, methodology): “[2-37]).”
Coupled coincidence point theorems in ordered metric spaces (2011, background): “References [2–5] are some examples of these works.”
Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces (2011, methodology): “Definition 4 (Lakshmikantham and Ćirić [10]).”
COUPLED FIXED POINT THEOREMS AND APPLICATIONS TO PERIODIC BOUNDARY VALUE PROBLEMS (2013, background): “u;v/ 2 X X of the above system is called a coupled fixed point for A (see also [5], [6]).”