@article{article_1367657, title={Common Fixed Point Results for w-α-Distance}, journal={Mus Alparslan University Journal of Science}, volume={12}, pages={7–11}, year={2024}, DOI={10.18586/msufbd.1367657}, author={Atıci Turan, Gülcan and Polat, Fatma}, keywords={Binary Relation, Fixed Point, α-Complete Metric Space, w-Distance.}, abstract={In this study, we examined some fixed point theorems in non-full metric spaces. We define the notions of α-lower semi-continuous , w-α-distance, w_0-α– distance, w-α-rational contraction and generalized w-α-rational contraction mapping. We also give related theorem and example. Then, we prove Banach’s fixed-point theorem thanks to the concept w-α- distance in metric spaces equipped with an abritrary binary relation. Also, w-α- rational contraction mapping and generalized w-α-rational contraction mapping are defined and by using these definitions, the theorem related fixed point is expressed and proved.}, number={1}, publisher={Mus Alparslan University}