@article{article_712142, title={New Fixed Point Results for Generalized Θ-Contraction in Extended 𝐆𝐛-Metric Spaces with an Application}, journal={Gazi University Journal of Science}, volume={34}, pages={808–819}, year={2021}, DOI={10.35378/gujs.712142}, author={Z, Sumaiya Tasneem and G, Kalpana and Abdeljawad, Thabet}, keywords={Extended Gb-metric spaces, Θ-contraction, Fixed point}, abstract={<div style="text-align:justify;">Through this work, we analyze the structure of extended Gb-metric spaces and show a fundamental lemma for sequence convergence within the same metric. We also propose the new notion of generalized geraghty type Θ-berinde contraction mappings and demonstrate several fixed point theorems for these mappingsin the sense of extended Gb-metric spaces. Eventually, the existence result for solutions of a Fredholm integral equation is furnished to show the efficacy of the technique developed.  </div>}, number={3}, publisher={Gazi University}