Results 11 to 20 of about 1,116,652 (248)
A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 In this paper we prove the following fixed point theorem. Consider a non-empty bounded polyhedron P and a function Æ : P → P such that for every x є P for which Æ (x) ≠ x there exists δ > 0 such that for all y, z є B (x, δ) ∩ P it holds that (Æ(y)-y)2 (Æ(
Herings,Jean-Jacques +3 more
core +22 more sources
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.
Eldon Dyer
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A fixed-point theorem for mappings
Journal of Mathematical Analysis and Applications, 1968 Alexander Abian
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A fixed point theorem and attractors [PDF]
Proceedings of the American Mathematical Society, 1978 We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
Ludvík Janoš, J. L. Solomon
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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
doaj +1 more source
A fixed point theorem in partially ordered sets and some applications to matrix equations
, 2003 An analogue of Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.
A. Ran, M. Reurings
semanticscholar +1 more source
Mathematics, 2018 In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du +2 more
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On orthogonal sets and Banach fixed point theorem
, 2017 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
The Caristi–Kirk Fixed Point Theorem from the point of view of ball spaces
Journal of Fixed Point Theory and Applications, 2018 We take a fresh look at the important Caristi–Kirk Fixed Point Theorem and link it to the recently developed theory of ball spaces, which provides generic fixed point theorems for contracting functions in a number of applications including, but not ...
F. Kuhlmann +2 more
semanticscholar +1 more source
On the Failure of Fixed-Point Theorems for Chain-complete Lattices in the Effective Topos [PDF]
, 2009 In the effective topos there exists a chain-complete distributive lattice with a monotone and progressive endomap which does not have a fixed point. Consequently, the Bourbaki-Witt theorem and Tarski's fixed-point theorem for chain-complete lattices do ...
Andrej Bauer +7 more
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