The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set ~ of the split feasibility problem and the set F（T） of fixed points of a right Bregman strongly ...The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set ~ of the split feasibility problem and the set F（T） of fixed points of a right Bregman strongly nonexpansive mapping T in the setting of p- uniformly convex Banach spaces which are also uniformly smooth. By combining Mann＇s iterative method and the Halpern＇s approximation method, we propose an iterative algorithm for finding an element of the set F（T）∩Ω moreover, we derive the strong convergence of the proposed algorithm under appropriate conditions and give numerical results to verify the efficiency and implementation of our method. Our results extend and complement many known related results in the literature.展开更多
The present paper is devoted to a novel smoothing function method for convex quadratic programming problem with mixed constrains, which has important application in mechanics and engineering science. The problem is re...The present paper is devoted to a novel smoothing function method for convex quadratic programming problem with mixed constrains, which has important application in mechanics and engineering science. The problem is reformulated as a system of non-smooth equations, and then a smoothing function for the system of non-smooth equations is proposed. The condition of convergences of this iteration algorithm is given. Theory analysis and primary numerical results illustrate that this method is feasible and effective.展开更多
The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite ...The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite inversely strongly accretive mappings and the set of common fixed points for a countable family of strict pseudo-contractions in uniformly smooth Banach spaces. We prove some strong convergence theorems under some suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others in the literature.展开更多
针对一类非高斯噪声环境下固定点平滑估计问题,设计一种使用最大相关熵准则作为最优估计标准的平滑估计算法,称之为固定点最大相关熵平滑估计(fixed-point maximum correntropy smoother,FP-MCS).首先基于矩阵变换给出最大相关熵Kalman...针对一类非高斯噪声环境下固定点平滑估计问题,设计一种使用最大相关熵准则作为最优估计标准的平滑估计算法,称之为固定点最大相关熵平滑估计(fixed-point maximum correntropy smoother,FP-MCS).首先基于矩阵变换给出最大相关熵Kalman滤波的新表达形式;然后以此为基础,引入新的状态来扩展系统,并推导出固定点最大相关熵平滑估计的在线迭代方程;进一步比较平滑前后状态估计误差协方差,从理论上分析算法的性能改进,同时比较其计算复杂度;最后通过算例验证所设计的算法在非高斯混合噪声干扰下的有效性和优越性.展开更多
设E是一实的p-一致光滑的B anach空间(1<p≤2),D是E的非空闭凸子集而且是E的非扩张收缩核.设T∶D→E是具有序列{kn}[1,∞),limn→∞kn=1的非自渐近非扩张映象,P∶E→D是一非扩张保核收缩.本文证明了在一定条件下,由修正的R e ich-Tak...设E是一实的p-一致光滑的B anach空间(1<p≤2),D是E的非空闭凸子集而且是E的非扩张收缩核.设T∶D→E是具有序列{kn}[1,∞),limn→∞kn=1的非自渐近非扩张映象,P∶E→D是一非扩张保核收缩.本文证明了在一定条件下,由修正的R e ich-Takahash i迭代法(1)和(2)式定义的迭代序列{xn}强收敛于非自渐近非扩张映象T的不动点.展开更多
文摘The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set ~ of the split feasibility problem and the set F（T） of fixed points of a right Bregman strongly nonexpansive mapping T in the setting of p- uniformly convex Banach spaces which are also uniformly smooth. By combining Mann＇s iterative method and the Halpern＇s approximation method, we propose an iterative algorithm for finding an element of the set F（T）∩Ω moreover, we derive the strong convergence of the proposed algorithm under appropriate conditions and give numerical results to verify the efficiency and implementation of our method. Our results extend and complement many known related results in the literature.
文摘The present paper is devoted to a novel smoothing function method for convex quadratic programming problem with mixed constrains, which has important application in mechanics and engineering science. The problem is reformulated as a system of non-smooth equations, and then a smoothing function for the system of non-smooth equations is proposed. The condition of convergences of this iteration algorithm is given. Theory analysis and primary numerical results illustrate that this method is feasible and effective.
基金Supported by NSFC(Grant Nos.11171172 and 11401063)the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20120002110044)the Natural Science Foundation of Chongqing(Grant No.cstc2014jcyj A00016)
文摘The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite inversely strongly accretive mappings and the set of common fixed points for a countable family of strict pseudo-contractions in uniformly smooth Banach spaces. We prove some strong convergence theorems under some suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others in the literature.
文摘针对一类非高斯噪声环境下固定点平滑估计问题,设计一种使用最大相关熵准则作为最优估计标准的平滑估计算法,称之为固定点最大相关熵平滑估计(fixed-point maximum correntropy smoother,FP-MCS).首先基于矩阵变换给出最大相关熵Kalman滤波的新表达形式;然后以此为基础,引入新的状态来扩展系统,并推导出固定点最大相关熵平滑估计的在线迭代方程;进一步比较平滑前后状态估计误差协方差,从理论上分析算法的性能改进,同时比较其计算复杂度;最后通过算例验证所设计的算法在非高斯混合噪声干扰下的有效性和优越性.
文摘设E是一实的p-一致光滑的B anach空间(1<p≤2),D是E的非空闭凸子集而且是E的非扩张收缩核.设T∶D→E是具有序列{kn}[1,∞),limn→∞kn=1的非自渐近非扩张映象,P∶E→D是一非扩张保核收缩.本文证明了在一定条件下,由修正的R e ich-Takahash i迭代法(1)和(2)式定义的迭代序列{xn}强收敛于非自渐近非扩张映象T的不动点.
基金Supported by the Natural Science Foundation of Hebei Province (A2011201053 , A2010000191 , A2012201054)the Natural Science Foundation of Hebei Education Commission (2010110)
