A5102023754- Optimization and Variational Analysis
- Fixed Point Theorems Analysis
- Advanced Optimization Algorithms Research
- Navier-Stokes equation solutions
- Advanced Mathematical Physics Problems
- Higher Education and Teaching Methods
- Computational Fluid Dynamics and Aerodynamics
- Advanced Computational Techniques and Applications
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Engineering Education and Curriculum Development
North China University of Water Resources and Electric Power
2008-2017
In this paper, we will discuss asymptotic limit of non-isentropic compressible Euler-Maxwell system arising from plasma physics. Formally, give some different systems according to the corresponding scalings. Furthermore, recent results about convergence Euler-Poisson equations be given via non-relativistic regime.
In this paper, hybrid algorithms are investigated for equilibrium and common fixed point problems. Strong convergence of the is obtained in framework reflexive Banach spaces.
Using a new proof technique which is independent of the approximation fixed point T (limn→∞ xn -T = 0) and convergence Browder type iteration path (zt tu + (1 -t)T zt), strong Halpern {xn} Cesàro means for asymptotically nonexpansive self-mappings , defined by xn+1 αnu -αn)(n 1) -1 n j=0 j 0, proved in uniformly convex Banach space E with Gâteaux differentiable norm whenever {αn} real sequence (0, satisfying conditions limn→∞ bn/αn 0 αn ∞ n=0 ∞.
The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove asymptotic behavior of global solutions provided that initial data are suitably small. Moreover, our can be approximated by to corresponding linear as time tends infinity when dimension space <svg style="vertical-align:-0.546pt;width:36.237499px;" id="M1" height="11.6" version="1.1" viewBox="0 0 36.237499 11.6" width="36.237499" xmlns:xlink="http://www.w3.org/1999/xlink"...
In this paper, common solutions of equilibrium and fixed point problems are investigated. Convergence theorems established in a uniformly smooth strictly convex Banach space. MSC:47H09, 47H10, 47J25.
In this paper, the fixed point problem of asymptotically strict quasi-ϕ-pseudocontractions is investigated based on hybrid projection algorithms. Strong convergence theorems points are established in a reflexive, strictly convex, and smooth Banach space such that both E have Kadec-Klee property. MSC:47H09, 47J25.
The purpose of this paper is to study common fixed points a countable family nonlinear operators and solutions equilibrium problems based on monotone projection algorithm.We establish strong convergence theorems without any compact assumptions imposed the operators.
We investigate the initial value problem for three dimensional generalized incompressible MHD system. Analyticity of global solutions was proved by energy method in Fourier space and continuous argument. Then decay rate small function $ \mathcal {X}^{1-2\alpha}\bigcap {X}^{1-2\beta} follows constructing time weighted inequality.
In this article, fixed points of nonexpansive mappings and equilibrium problems based on a Halpern-type algorithm are investigated. Strong convergence theorems for common solutions the two obtained in framework real Hilbert spaces.
We present two proximal algorithms for solving the mixed equilibrium problems. Under some simpler framework, strong and weak convergence of sequences defined by general is respectively obtained. In particular, we deal with several iterative schemes in a united way apply our classical problem, minimization variational inequality problem generalized problem. Our results properly include corresponding this field as special case. MSC:47H06, 47J05, 47J25, 47H10, 90C33, 90C25, 49M45, 65C25, 49J40,...