Fixed Point Results in Graphical Convex Extended b-metric Spaces

This study aims to enunciate the concept of graphical convex extended b-metric space \((GCE_{b}MS)\) and analyze some fundamental aspects of the convex structure. In the setting of \(GCE_{b}MS,\) \(G-\) contraction, T-Mann, and T-Agrawal iterative sequences have been discussed. These iterative techniques have also been used to examine the existence of strong fixed point theorems. Combining the convex structure of metric spaces with graphs makes the manuscript novel and interesting to academics interested in discovering fixed points inside the graph structure.