Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Abbas, Mujahid"
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Article Citation - WoS: 9Citation - Scopus: 10A Discussion on the Existence of Best Proximity Points That Belong To the Zero Set(Mdpi, 2020) Abbas, Mujahid; Farooq, Sadia; Karapinar, Erdal; 19184In this paper, we investigate the existence of best proximity points that belong to the zero set for the alpha p -admissible weak (F,phi) -proximal contraction in the setting of M-metric spaces. For this purpose, we establish phi -best proximity point results for such mappings in the setting of a complete M-metric space. Some examples are also presented to support the concepts and results proved herein. Our results extend, improve and generalize several comparable results on the topic in the related literature.Article Citation - WoS: 7Citation - Scopus: 7Extended Rectangular Fuzzy B-Metric Space With Application(Amer inst Mathematical Sciences-aims, 2022) Furqan, Salman; Abbas, Mujahid; Jarad, Fahd; Saleem, Naeem; 234808In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff. A Banach fixed point theorem is proved as a special case of our main result where a ' Ciric type contraction was employed. Our main result generalizes some comparable results in rectangular fuzzy b-metric space and rectangular fuzzy metric space. We provide some examples to support the concepts and results presented herein. As an application of our result, we obtain the existence of the solution of the integral equation.
