Results 41 to 50 of about 3,769,573 (257)
Existence Result For a Model Coupling a Quasi-Linear Parabolic Equation and a Linear Hyperbolic System [PDF]
arXiv, 2022 We prove globally-in-time existence of solution for a problem coupling the linear Lam\'e system and the quasi-linear Stokes equation. A solution of this global coupled problem is viewed as the fixed point of some non-linear operator $T$. We construct, using a regularization procedure, a sequence $(T^\epsilon)_\epsilon$ of auxiliary approximating ...
arxiv
Periodic travelling wave solutions of discrete nonlinear Schr\"odinger equations
, 2017 The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schr\"odinger equation (DNLS) on finite one-dimensional lattices is proved.
Hennig, Dirk
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On split equality fixed-point problems
Alexandria Engineering Journal, 2023 In this present work, we study new algorithms to solve the split equality fixed-point problems for total quasi-asymptotically nonexpansive mappings in Hilbert spaces. In addition, we have established the convergence criteria for the proposed algorithms, at the end, we provided numerical results that justified our theoretical results.
L.B. Mohammed, A. Kılıçman, A.U Saje
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The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings
Journal of Applied Mathematics, 2013 We introduce and analyze the viscosity approximation algorithm for solving the split common fixed point problem for the strictly pseudononspreading mappings in Hilbert spaces.
Shubo Cao
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Fixed point theory and nonlinear problems [PDF]
Bulletin of the American Mathematical Society, 1983 Introduction. Among the most original and far-reaching of the contributions made by Henri Poincare to mathematics was his introduction of the use of topological or "qualitative" methods in the study of nonlinear problems in analysis. His starting point was the study of the differential equations of celestial mechanics, and in particular of their ...
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Journal of Function Spaces, 2016 We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution.
Ishak Altun +4 more
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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition [PDF]
Opuscula Mathematica, 2017 For \(\alpha\in(1,2]\), the singular fractional boundary value problem \[D^{\alpha}_{0^+}x+f\left(t,x,D^{\mu}_{0^+}x\right)=0,\quad 0\lt t\lt 1,\] satisfying the boundary conditions \(x(0)=D^{\beta}_{0^+}x(1)=0\), where \(\beta\in(0,\alpha-1]\), \(\mu\in(
Jeffrey W. Lyons, Jeffrey T. Neugebauer
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Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems
, 2009 We search for asymptotic safety in a Yukawa system with a chiral $U(N_L)_L\otimes U(1)_R$ symmetry, serving as a toy model for the standard-model Higgs sector.
A. Codello +51 more
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Fixed points and quasi-equilibrium problems
Mathematical and Computer Modelling, 2000 A fixed-point theorem for compact acyclic maps defined on convex subsets of not-necessarily locally convex topological vector spaces is applied to the existence of solutions of quasi-equilibrium problems. Such existence theorems extend known ones which were used for unified approaches to quasi-variational inequalities in [1-5] and others.
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, 2008 In this paper we present proofs of basic results, including those developed so far by H. Bell, for the plane fixed point problem. Some of these results had been announced much earlier by Bell but without accessible proofs. We define the concept of the variation of a map on a simple closed curve and relate it to the index of the map on that curve: Index
Fokkink, Robbert J. +3 more
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