Results 1 to 10 of about 851,681 (268)
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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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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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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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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Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
Journal of Function Spaces, 2015 We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri +2 more
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Generalization of Rakotch's fixed Point Theorem
Revista de Matemática: Teoría y Aplicaciones, 2011 In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
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Proceedings of the American Mathematical Society, 1956 Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
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Almost fixed point theorems [PDF]
Proceedings of the American Mathematical Society, 1988 A closed cover version of Hazewinkel and van de Vel’s theorem on the existence of γ \gamma -almost fixed points for set-valued functions and for real Hausdorff topological vector spaces is proved. Generalizations of well-known fixed point theorems of the Schauder-Tychonoff type are presented.
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Duan's fixed point theorem: proof and generalization
Fixed Point Theory and Applications, 2006 Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
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An Extension of Gregus Fixed Point Theorem
Fixed Point Theory and Applications, 2007 Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
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