Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces
نویسندگان
چکیده
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}x), \mathcal{F}y, \mathcal{F}y),\\ &\qquad\quad \ G(gy, \mathcal{F}y), G(gz, \mathcal{F}z, \mathcal{F}z),\\ \mathcal{F}y)\}.\end{align*} Also, we have proved theorems above mentioned self-mappings along with E.A property and (\(\mathit{CLR}_g\)) property.
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ژورنال
عنوان ژورنال: Communications in Mathematics and Applications
سال: 2023
ISSN: ['0975-8607', '0976-5905']
DOI: https://doi.org/10.26713/cma.v14i1.1917