Results 41 to 50 of about 11,069 (184)
On the Brouwer fixed point theorem
Topology and its Applications, 2002 The author studies the Brouwer-type fixed point theorem for multivalued mappings which are continuous with respect to the Borsuk continuity metric and have spheric-type values. By using deep topological methods, the fixed-point problem is expressed in terms of sphere bundles over manifolds. New methods in the fixed-point problem are presented.
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Planar bilipschitz extension from separated nets
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove that every L$L$‐bilipschitz mapping Z2→R2$\mathbb {Z}^2\rightarrow \mathbb {R}^2$ can be extended to a C(L)$C(L)$‐bilipschitz mapping R2→R2$\mathbb {R}^2\rightarrow \mathbb {R}^2$, and we provide a polynomial upper bound for C(L)$C(L)$. Moreover, we extend the result to every separated net in R2$\mathbb {R}^2$ instead of Z2$\mathbb {Z}
Michael Dymond, Vojtěch Kaluža
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 1, January 2026.Abstract In this paper a fixed‐point solver for mappings from a simplex into itself that is gradient‐free, global and requires d$d$ function evaluations for halving the error is presented, where d$d$ is the dimension. It is based on topological arguments and uses the constructive proof of the Mazurkewicz–Knaster–Kuratowski lemma when used as part of ...
Thilo Moshagen
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Handel's fixed point theorem revisited
, 2012 Michael Handel proved in [7] 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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Equilibria, Fixed Points, and Complexity Classes [PDF]
, 2008 Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing optimal strategies and the values of competitive games (stochastic and ...
Yannakakis, Mihalis
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How Can Inflation Contracts Discipline Central Bankers When Agents Are Learning?
Bulletin of Economic Research, Volume 78, Issue 1, Page 3-26, January 2026.ABSTRACT This paper studies, in a new Keynesian model with a positive optimal output gap, how to design linear inflation contracts to shape the central bank's incentive structure when private expectations are based on adaptive learning. In this model, under rational expectations, inflation contracts could only partially deal with the time‐inconsistency
Marine Charlotte André, Meixing Dai
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Equivalent forms of the Brouwer fixed point theorem II
Topological Methods in Nonlinear Analysis, 2016 The authors extend characterizations of the celebrated Brouwer fixed point theorem presented in their earlier paper [Topol. Methods Nonlinear Anal. 44, No. 1, 263--276 (2014; Zbl 1476.54070)]. Firstly, some equivalent versions of the labeled Sperner lemma are provided.
Adam Idzik +2 more
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Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
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Discrete Dynamics in Nature and Society, 2017 In spatial economics, the distribution of wages is described by a solution to the wage equation of Dixit-Stiglitz-Krugman model. The wage equation is a discrete equation that has a double nonlinear singular structure in the sense that the equation ...
Minoru Tabata, Nobuoki Eshima
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