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Common Fixed Point Results for w-α-DistanceAtıcı Turan, GülcanPolat, FatmaMatematikIn 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.2024Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/6331https://doi.org/10.18586/msufbd.13676572147-7930enMuş Alparslan Üniversitesi Fen Bilimler Dergisiinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/6331