The focus of this paper is to acquaint with generalized condition (B) in a quasi-partial b-metric space and establish coincidence common fixed point theorems for weakly compatible pairs mapping. Additionally, the background space, outcomes obtained are exemplified prove existence uniqueness point.

In this work, we study the generalized complex valued metric space for some partial order relation and give example. Then established proved a uniqueness of coincidence point common fixed theorems with satisfy weakly compatible contraction. The results extend improve Elkouch Marhrani [8], Abbasand Jungck [1].

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...