Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces

Narinder Kumar,Manoj Kumar, Ashish

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS(2023)

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Abstract
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: ? G(9'x,9'y,9'z) ? L(x,y,z) & phi;(t)dt & LE; & alpha; 0 0 & phi;(t)dt, for all x, y, z & ISIN; X, where L(x, y, z) = max{G(gx, g y, gz),G(gx,9'x,9'x),G(gx,9'y,9y),G(gy,9'y,9y), G(g y,9'x,9'x),G(gz,9'z,9'z), G(gz,9'x,9'x), G(gz,9'y,9'y)}. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-mappings along with E.A property and (CLRg) property.
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Key words
Fixed point,G-metric space,Coincidence point,Weakly compatible maps,E,A property,(CLRg) property
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