Results 131 to 140 of about 314,320 (176)
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1998
We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš +1 more
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We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš +1 more
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Heterogeneous Vectorial Fixed Point Theorems
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiziana Cardinali +2 more
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1980
In the theory of zero-sum, two-person games the basic theorem was proved by John von Neumann; he used the Brouwer fixed-point theorem. In the theory of many-person games the basic theorem was proved by J. F. Nash; he also used the Brouwer fixed-point theorem. We will prove Nash’s theorem with the Kakutani fixed-point theorem.
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In the theory of zero-sum, two-person games the basic theorem was proved by John von Neumann; he used the Brouwer fixed-point theorem. In the theory of many-person games the basic theorem was proved by J. F. Nash; he also used the Brouwer fixed-point theorem. We will prove Nash’s theorem with the Kakutani fixed-point theorem.
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2018
In Sect. 5.1, we discuss the Banach’s contraction mapping theorem and some consequences of this theorem. We also deal with contractive mappings considered by Edelstein [212] and certain generalizations of contraction mapping theorem, mainly the ones obtained by Boyd and Wongs [75], Kannan [308, 309], Reich [509] and Husain and Sehgal [283] and others ...
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In Sect. 5.1, we discuss the Banach’s contraction mapping theorem and some consequences of this theorem. We also deal with contractive mappings considered by Edelstein [212] and certain generalizations of contraction mapping theorem, mainly the ones obtained by Boyd and Wongs [75], Kannan [308, 309], Reich [509] and Husain and Sehgal [283] and others ...
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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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Porous fixed-bed photoreactor for boosting C–C coupling in photocatalytic CO2 reduction
EScience, 2022Shengjie Bai, Feng Wang, Ya Liu
exaly
An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems
IEEE/CAA Journal of Automatica Sinica, 2022Zongyu Zuo
exaly