Results 21 to 30 of about 3,575 (180)
New fixed figure results with the notion of k-ellipse [PDF]
Mathematica Moravica, 2023 In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using the notion of k-ellipse on a metric space. For this purpose, we are inspired by the Caristi type mapping, Kannan type contraction, Chatterjea type ...
Aytimur Hülya +2 more
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On fixed points of generalized Kannan and Reich type contractive mappings
Filomat, 2023 Kannan or Reich type strict contractive conditions do not ensure the existence of fixed points unless some strong conditions such as compactness of the space and continuity of the mapping are assumed. In this paper, our main aim is to investigate the existence of fixed point of generalized Kannan type contractive mappings in the setting of ...
Kushal Roy +3 more
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Axioms, 2021 In this paper, the notion of θ*-weak contraction is introduced, which is utilized to prove some fixed point results. These results are helpful to give a positive response to certain open question raised by Kannan and Rhoades on the existence of ...
Atiya Perveen +3 more
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On mappings contractive in the sense of Kannan [PDF]
Proceedings of the American Mathematical Society, 1976 Let f : X → X f:X \to X be a continuous compact mapping of a metric space ( X , d ) (X,d) into itself with the property that x , y ∈ X x,y \in X and x ≠ y ...
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Fixed points of Kannan maps in modular metric spaces
AIMS Mathematics, 2020 The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we study the existence of fixed points for contractive
Afrah. A. N. Abdou
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Some Fixed Point Results in Function Weighted Metric Spaces
Journal of Mathematics, 2021 After the establishment of the Banach contraction principle, the notion of metric space has been expanded to more concise and applicable versions. One of them is the conception of ℱ-metric, presented by Jleli and Samet.
Awais Asif +3 more
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Journal of Inequalities and Applications, 2022 Some topological and geometric behavior of the space of all sequences whose generalized mean transforms are in Nakano sequence space, the multiplication mappings acting on it, and the eigenvalue distribution of mappings ideal generated by this space and ...
Awad A. Bakery, M. H. El Dewaik
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Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
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Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings [PDF]
Fixed Point Theory and Applications, 2010 AbstractSome mutual relations between p-cyclic contractive self-mappings, p-cyclic Kannan self-mappings, and Meir-Keeler p-cyclic contractions are stated. On the other hand, related results about the existence of the best proximity points and existence and uniqueness of fixed points are also formulated.
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Fixed Point Results for a Family of Interpolative F-Contractions in b-Metric Spaces
Axioms, 2022 In this paper, we introduce a new generalized concept, namely, extended interpolative Cirić–Reich–Rus-type F-contraction in b-metric space. In addition, we put forward the notion of interpolative Kannan-type F-contractions.
Nabanita Konwar, Pradip Debnath
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