Browsing by Author "Aydi, Hassen"

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    Best proximity problems for new types of Z -proximal contractions with an application
    (Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Işık, Hüseyin; Aydi, Hassen; Other; Other
    In this study, we establish existence and uniqueness theorems of best proximity points for new types of Z -proximal contractions defined on a complete metric space. The presented results improve and generalize some recent results in the literature. Several examples are constructed to demonstrate the generality of our results. As applications of the obtained results, we discuss sufficient conditions to ensure the existence of a unique solution for a variational inequality problem.
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    On some problems regarding set valued (α,ψ)-F-contractions
    (Ankara Üniversitesi Fen Fakültesi, 2019-08-01) Nazam, Muhammad; Aydi, Hassen; Arshad, Muhammad; Other; Other
    In this paper, we introduce set valued (α,ψ) F-contraction mappings in the setting of a partial metric space. We obtain some common fixed point theorems for a pair of these mappings. These results generalize several recent results existing in the current literature.