Kumar M.Kumar P.Mutlu A.Ramaswamy R.Abdelnaby O.A.A.Radenović S.2024-07-222024-07-22202322277390http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/11983Here, we shall introduce the new notion of (Formula presented.) -algebra valued bipolar b-metric spaces as a generalization of usual metric spaces, (Formula presented.) -algebra valued metric space, b-metric spaces. In the above-mentioned spaces, we shall define (Formula presented.) contractions and prove some fixed point theorems for these contractions. Some existing results from the literature are also proved by using our main results. As an application Ulam–Hyers stability and well-posedness of fixed point problems are also discussed. Some examples are also given to illustrate our results. © 2023 by the authors.EnglishAll Open Access; Gold Open AccessArticle10.3390/math11102323