Results 71 to 80 of about 4,748 (237)
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Banach fixed point theorem for fractional integral contraction
Fixed Point Theory and Algorithms for Sciences and EngineeringOne of the most intensively studied and generalized results in metric fixed point theory is Branciari’s fixed point theorem, which asserts that in a complete metric space ( M , ρ ) $(M, \rho )$ , a mapping T : M → M $T: M \to M$ satisfying ∫ 0 ρ ( T x ...
Irshad Ayoob
doaj +1 more source
Banach fixed point theorem for digital images
, 2015 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Karaca, Ismet, Ege, Ozgur
core
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Banach fixed point theorem for digital imagesa
, 2015 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ege O., Karaca I.
core
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
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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
openaire +1 more source
Applications of the Banach Fixed Point Theorem
, 2018 We investigated the application of the Banach fixed-point theorem, especially as it applied to initial value problems in differential equations. Many partial differential equations (PDE’s) model biological growth and could be reduced to ordinary ...
Cliburn, John
core
Furi–Pera fixed point theorems in Banach algebras with applications [PDF]
, 2008 summary:In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is ${\mathcal D}$-Lipchitzian.
Hammache, Karima, Djebali, Smaïl
core
Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
wiley +1 more source