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A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation. [PDF]
Healthc Anal (N Y), 2023 Adom-Konadu A +4 more
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Generalized Caristi's Fixed Point Theorems [PDF]
Fixed Point Theory and Applications, 2009 AbstractWe present generalized versions of Caristi's fixed point theorem for multivalued maps. Our results either improve or generalize the corresponding generalized Caristi's fixed point theorems due to Bae (2003), Suzuki (2005), Khamsi (2008), and others.
Latif Abdul
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Fixed point theorem for mappings contracting perimeters of triangles [PDF]
Journal of Fixed Point Theory and Applications, 2023 We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous.
E. Petrov
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A Metric Fixed Point Theorem and Some of Its Applications [PDF]
Geometric and Functional Analysis, 2022 A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is new for isometries of convex sets of Banach spaces as well as for non-locally compact CAT(0)-spaces ...
A. Karlsson
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On Krasnoselskii's Cone Fixed Point Theorem
Fixed Point Theory and Applications, 2008 In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Kwong ManKam
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A converse to Banach's fixed point theorem and its CLS-completeness [PDF]
Symposium on the Theory of Computing, 2017 Banach's fixed point theorem for contraction maps has been widely used to analyze the convergence of iterative methods in non-convex problems. It is a common experience, however, that iterative maps fail to be globally contracting under the natural ...
C. Daskalakis +2 more
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Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces
Journal of Mathematics, 2021 This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
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New Applications of Perov’s Fixed Point Theorem
Mathematics, 2022 The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan +2 more
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GENERALIZED FIXED POINT THEOREM
Demonstratio Mathematica, 1983 Let X be a metric space, A be a nonempty closed convex subset of a uniformly convex Banach space \((Y,| \cdot |)\), \(CB(A)\) be the collection of all nonempty closed convex and bounded subsets of A metrized by the Hausdorff metric D. the following Krasnosielskii type fixed point theorem is proved: Suppose that \(\Gamma: A\to X\) is a continuous ...
Kisielewicz, M., Rybiński, L.
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Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
Mathematics, 2019 In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach
Anupam Das, B. Hazarika, Poom Kumam
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