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Convergence of the Iterated Boltzmann Map

open access: yesPublications of the Research Institute for Mathematical Sciences, 1984
Consider the Boltzmann equation of degree \(d\geq 2\) for a discrete sample space \(\Omega\) and discrete time; in one step it defines a non-linear map \(\tau\) on the space of measures on \(\Omega\). We show that the entropy increases under \(\tau\). When the energy levels of \(\Omega\) are equally spaced and scattering conserves energy, the iterated ...
openaire   +3 more sources

Novel Method for Approximating Fixed Point of Generalized α-Nonexpansive Mappings with Applications to Dynamics of a HIV Model

open access: yesMathematics
In this paper, we use an existing fixed point iterative scheme to approximate a class of generalized α-nonexpansive mapping in Banach spaces. We also prove weak and strong convergence results for the mapping using the AG iterative scheme. An example of a
Godwin Amechi Okeke   +2 more
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A General Iterative Approach to Variational Inequality Problems and Optimization Problems

open access: yesFixed Point Theory and Applications, 2011
We introduce a new general iterative scheme for finding a common element of the set of solutions of variational inequality problem for an inverse-strongly monotone mapping and the set of fixed points of a nonexpansive mapping in a Hilbert space and then
Jung JongSoo
doaj  

A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings, and Monotone Mappings

open access: yesFixed Point Theory and Applications, 2011
We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpansive mapping, and the solutions set of a ...
Wu Soon-Yi, Fan Gang-Lun, Peng Jian-Wen
doaj  

耦合混沌映射牛顿迭代法与机构精确点运动综合

open access: yesJixie chuandong, 2007
Many questions in natural science and engineering are transformed into nonlinear equations to be found,Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence
罗佑新, 廖德岗
doaj  

Iterated monodromy groups of exponential maps

open access: yesGroups, Geometry, and Dynamics
This paper introduces iterated monodromy groups for transcendental functions and discusses them in the simplest setting, for post-singularly finite exponential functions. These groups are self-similar groups in a natural way, based on an explicit construction in terms of kneading sequences. We investigate the group theoretic properties of these groups,
openaire   +2 more sources

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