In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of Coupled coincidence point and Coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique Coupled common  xed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.

In this paper, we prove some Coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.

In this paper, we study the existence of Coupled coincidence and Coupled common fixed points for single-valued and fuzzy mappings under a contractive condition in metric space. Presented theorems extend and improve the main results of Abbas and Ciric et al. [M. Abbas, L. Ciric, et al., Coupled coincidence and common fixed point theorems for hybrid pair of mappings, Fixed point Theory Appl. (4) (2012) doi: 10.1186/1687-1812-2012-4].

The purpose of this paper is to establish some Coupled coincidence point theorems for mappings having a mixed g- monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of Coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

Let $\mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $\mathcal{X}$. We obtain some results in Coupled and Coupled coincidence of $g$-monotone functions on $\mathcal{X}$, where $g$ is a function from $\mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in  the unit ball of  the Hilbert space. Some applications for linear and nonlinear matrix equations are given.

The main purpose of this paper is to obtain su cient conditions for existence of points of coincidence and common  xed points for three self mappings in b-metric spaces. Next, we obtain cone b-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.

In this paper, we define (ψ, ϕ)-Contraction Type T-coupling, establish a theorem satisfying such contraction condition, and prove the existence and uniqueness of Coupled coincidence and Coupled common fixed points in metric space. Here ψ and ϕ are two altering distance functions and T is a SCC-Map for metric spaces. Our results extend and generalize several related results in the existing literature. We also provided two examples to verify our main results.