Results 11 to 20 of about 1,126,383 (361)
Handel’s fixed point theorem revisited [PDF]
AbstractMichael Handel proved in [A fixed-point theorem for planar homeomorphisms. Topology38 (1999), 235–264] the existence of a fixed point for an orientation-preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity.
Brown +4 more
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On Tarski's fixed point theorem [PDF]
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 short and constructive proof of Tarski’s fixed-point theorem [PDF]
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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Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
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
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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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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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Elagan, Sayed Khalil +1 more
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Almost fixed point theorems [PDF]
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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On orthogonal sets and Banach fixed point theorem
We introduce the notion of the orthogonal sets and give a real generalization of Banach’ fixed point theorem. As an application, we find the existence of solution for a first-order ordinary differential equation.
M. Gordji, M. Rameani, M. Sen, Y. Cho
semanticscholar +1 more source
Brouwer's fixed-point theorem in real-cohesive homotopy type theory [PDF]
We combine homotopy type theory with axiomatic cohesion, expressing the latter internally with a version of ‘adjoint logic’ in which the discretization and codiscretization modalities are characterized using a judgemental formalism of ‘crisp variables ...
Michael Shulman
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