Ramalingam, B.Ege, O.Aloqaily, A.Mlaiki, N.2024-08-252024-08-2520232073-8994https://doi.org/10.3390/sym15101831https://hdl.handle.net/11454/102211In this manuscript, we establish some fixed-point theorems without continuity by using the triangular property on a fuzzy bipolar (Formula presented.) -metric space as a generalized version and expansion of the well-known results. We also provide some examples and applications of the integral equation to the solution for our main results. © 2023 by the authors.en10.3390/sym15101831info:eu-repo/semantics/openAccessfixed pointfuzzy bipolar b-metric spacefuzzy bipolar metric spacefuzzy metric spacesArticle15102-s2.0-85175486487Q2