Results 1 to 10 of about 1,043,898 (286)
Probabilistic b-metric spaces and nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2017 This work is for giving the probabilistic aspect to the known b-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.
Abderrahim Mbarki, Rachid Oubrahim
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φ-fixed point results for nonlinear contractions with an application
Journal of Inequalities and Applications, 2023 In this paper, using the notion of w-distance in metric spaces, we introduce two types of nonlinear contractions, ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi ,\varphi ,\phi ,p)$ and rational- ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi , \varphi ,\phi ,p)$ contractions.
Ju Hu +4 more
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Probabilistic Generalized Metric Spaces and Nonlinear Contractions
Demonstratio Mathematica, 2016 We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
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Mathematics, 2023 This article consists of some new fixed point theorems verifying relation-theoretic strict almost nonlinear contractions that are preserved by a locally finitely transitive relation. Our results improve certain well-known results in the literature.
Faizan Ahmad Khan +5 more
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On combinational contractions with applications [PDF]
HeliyonThe aim of this paper is to provide a new hybrid contraction that is a combination of Jaggi, Meir-Keeler and Zamfirescu-type contractions in the framework of a complete metric space.
Mohammed Shehu Shagari +4 more
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Contraction Analysis of Nonlinear DAE Systems [PDF]
IEEE Transactions on Automatic Control, 2021 This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attraction regions associated with a particular stable equilibrium, by establishing the relation between the contraction rates of the original systems and the corresponding virtual ...
Hung D. Nguyen 0001 +3 more
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On new generalized θ b $\theta _{b}$ -contractions and related fixed point theorems
Journal of Inequalities and Applications, 2022 The manuscript is an extension of the investigations concerning θ-contractions which have been newly proposed in (Jleli and Samet in J. Inequal. Appl. 2014:38, 2014).
Amjad Ali +4 more
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On φ-contractions and fixed point results in fuzzy metric spaces
Applied General Topology, 2023 In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, generalized φ-contractions are defined
Morteza Saheli +2 more
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Some new φ-fixed point and φ-fixed disc results via auxiliary functions
Journal of Inequalities and Applications, 2022 In this paper, we first introduce several new contractions by some auxiliary functions. Then we establish some φ-fixed point results for ( γ , ψ , φ , ϕ ) $(\gamma ,\psi ,\varphi ,\phi )$ contractions, rational- ( γ , ψ , φ , ϕ ) $(\gamma , \psi ,\varphi
Yan Sun +4 more
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C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
Nonlinear Analysis, 2017 In this paper, we derive and formulate many fixed point results of cyclic form under contractive conditions based on implicit relations in the setting of Ω-distance. Our results improve and generalize many existing results in the literature.
Arslan Hojat Ansari, Wasfi Shatanawi
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