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On Tarski's fixed point theorem [PDF]
Proceedings of the American Mathematical Society, 2014 A concept of abstract inductive definition on a complete lattice is formulated and studied. As an application, a constructive and predicative version of Tarski's fixed point theorem is obtained.Comment: Proc. Amer. Math.
Curi, Giovanni
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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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A fixed point theorem of the alternative, for contractions on a generalized complete metric space [PDF]
, 1968 1. Summary. The purpose of this note is to prove a "theorem of the alternative" for any "contraction mapping" T on a "generalized complete metric space" X.
J. B. Díaz, Beatriz Margolis
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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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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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On a Fixed Point Theorem of Kirk [PDF]
Proceedings of the American Mathematical Society, 1995 Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Morales, Claudio H. +1 more
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A uniqueness theorem for fixed points [PDF]
Proceedings of the American Mathematical Society, 1980 In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Smith, H. L., Stuart, C. A.
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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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A short and constructive proof of Tarski’s fixed-point theorem [PDF]
, 2005 I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
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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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