Results 311 to 320 of about 1,115,420 (368)
The Eigenvalue and Fixed-Point Theorem for some Nonlinear Mapping on Near-algebra and Banach Algebra
, 2012 Ansheng Yang, Eorge Yuan
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2008
This article gives statements of the Tarski fixed point theorem and the main versions of the topological fixed point principle that have been ...
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This article gives statements of the Tarski fixed point theorem and the main versions of the topological fixed point principle that have been ...
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The Annals of Mathematics, 1951
where f, p are continuous, g satisfies a Lipschitz condition, p(t) has period 1, and g(t)/I ? 1 for large t at any rate. Our choice of hypotheses and the main lines of our investigations have been dominated by what is significant in the theory of differential equations, but our results are concerned solely with sets of points and transformations of ...
Cartwright, M. L., Littlewood, J. E.
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where f, p are continuous, g satisfies a Lipschitz condition, p(t) has period 1, and g(t)/I ? 1 for large t at any rate. Our choice of hypotheses and the main lines of our investigations have been dominated by what is significant in the theory of differential equations, but our results are concerned solely with sets of points and transformations of ...
Cartwright, M. L., Littlewood, J. E.
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On Brouwer's fixed point theorem
Topology Proceedings, 2022Summary: It is shown by Klaas Pieter Hart, Jan van Mill, and Roman Pol [\textit{K. P. Hart} et al., Topol. Proc. 25(Summer), 179--206 (2000; Zbl 1027.54051)] that Brouwer's fixed point theorem can be reduced to its 3-dimensional case by using the hyperspace of a 2-dimensional hereditarily indecomposable continuum.
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Subrahmanyam’s fixed point theorem
Nonlinear Analysis: Theory, Methods & Applications, 2009In this paper, a sufficient and necessary condition for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a fixed point of self mapping \(T\) on a complete metric space \((X, d)\) is given. Some equivalent conditions for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a unique fixed point of ...
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, 2015
In this paper we obtain a generalization of Matkowski’s fixed point theorem and Istrăţescu’s fixed point theorem concerning convex contractions. More precisely, given a complete b-metric space (X, d) we prove that every continuous function $$ f:X ...
R. Miculescu, A. Mihail
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In this paper we obtain a generalization of Matkowski’s fixed point theorem and Istrăţescu’s fixed point theorem concerning convex contractions. More precisely, given a complete b-metric space (X, d) we prove that every continuous function $$ f:X ...
R. Miculescu, A. Mihail
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1987
An economic system, which consists of a number of relationships among the relevant factors, is modelled as a system of equations or inequalities of certain unknowns, whose solution represents a specific state in which the system settles. This is typically exemplified by the Walrasian competitive economy (Walras, 1874), consisting of the interaction of ...
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An economic system, which consists of a number of relationships among the relevant factors, is modelled as a system of equations or inequalities of certain unknowns, whose solution represents a specific state in which the system settles. This is typically exemplified by the Walrasian competitive economy (Walras, 1874), consisting of the interaction of ...
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The Ran–Reurings fixed point theorem without partial order: A simple proof
, 2014The purpose of this note is to generalize the celebrated Ran–Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric.
H. Ben-el-Mechaiekh
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Functional Analysis and Its Applications, 1996
This note has discussed three fixed point theorems for mappings \(T:H\times H\to H\), where \(H\) is a suitable subset of a metric or normed linear space, satisfying certain conditions. Only indications of the proofs are given. The first two theorems are proved with the help of a theorem due to \textit{M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962;
Tran Quoc Binh, Nguyen Minh Chuong
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This note has discussed three fixed point theorems for mappings \(T:H\times H\to H\), where \(H\) is a suitable subset of a metric or normed linear space, satisfying certain conditions. Only indications of the proofs are given. The first two theorems are proved with the help of a theorem due to \textit{M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962;
Tran Quoc Binh, Nguyen Minh Chuong
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Archiv der Mathematik, 1997
We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
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We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
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