Results 51 to 60 of about 6,524,644 (115)
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 a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core
Banach Fixed point Theorem and Application
, 2019 The main objective of this research paper is to study the applications of the Banach fox point theory.
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ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES
Journal of Applied Analysis & ComputationSummary: The measurement of the distance between two points is always tainted by errors. The causes of such errors are varied. For instance, the imperfection in the adjustment of instruments affects the accuracy of measurements. These errors are generally ``small'', however their accumulations can become significant.
Jleli, Mohamed, Samet, Bessem
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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
Mathematische Nachrichten, Volume 299, Issue 11, Page 3574-3581, November 2026.ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators [PDF]
, 2007 Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed.
Soltanov, Kamal N. +3 more
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A fixed point theorem on banach space and its applications
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1993 Summary: In Section 1 of this paper, we extend the results on fixed points of operators on Banach spaces of Bernfeld, Lakshmikantham and Reddy and Som for two set-valued mappings. In the proof of our theorems we introduce a generalized version of a contractive type condition.
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On the Nonnegative Rank of Positive Operators
Mathematische Nachrichten, Volume 299, Issue 11, Page 3689-3704, November 2026.ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
wiley +1 more source
Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]
In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani +2 more
core
A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, Volume 47, Issue 6, Page 1124-1138, November 2026.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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In this work, we study the Banach Fixed Point Theorem with a view to having an insight into the implication of varied contraction constants for a family of contraction maps. We prove the existence of fixed points of a family of contraction operators defined on a complete metric space.
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