位置：成果数据库 > 期刊 > 期刊详情页
Banach空间中广义投影变形迭代法的收敛性
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江师范大学数学系,浙江金华321004, [2]上海师范大学数学系,上海200234
  • 相关基金：国家自然科学基金（No.10771141）资助的项目.
作者： 王元恒[1,2], 曾六川[2]
关键词： 非自映象, 广义投影算子, 变形迭代, 渐近弱压缩映象, Non-self mapping, Generalized projective operator, Modified iteration,Asymptotically weak contractive mapping
中文摘要：

在Banach空间中，应用新的广义投影方法和变形的逐次逼近方法以及变形的Mann迭代序列方法，研究了渐近弱压缩非自映象T：G→B的不动点迭代过程的强收敛性．其结果推广了一些最近相应的结果，其方法不同于其他作者的方法，

英文摘要：

This paper studies strong convergence of fixed points iteration process for the non-self mapping T ： G → B, which is called the asymptotically weak contractive mapping, by using the brand-new generalized projection method and modified successive approximation methods or the modified Mann iterative sequence method in Banach spaces.

同期刊论文项目
具广义单调性的最优化问题与不动点问题的理论与算法
期刊论文 73
同项目期刊论文
Strong convergence of iterative algorithms for variational inequalities in Banach spaces
Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous
On generalized variational-like inequalities with generalized monotone multivalued mappings
An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction m
New accuracy criteria for modified approximate proximal point algorithms in Hilbert spaces
Relaxed viscosity approximation methods for fixed point problems and variational inequality problems
An implicit iterative scheme for monotone variational inequalities and fixed point problems
Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point pro
Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal mono
Viscosity approximation methods for equilibrium problems and fixed point problems of nonlinear semig
Necessary optimality conditions for super minimizers in structural problems of multiobjective optimi
On generalized implicit vector equilibrium problems in Banach spaces
Hybrid approximate proximal point algorithms for variational inequalities in Banach spaces ( J. Ineq
Hybrid viscosity-like approximation methods for nonexpansive mappings in Hilbert spaces
Modified extragradient methods for strict pseudo-contractions and monotone mappings
Viscosity approximation methods for strongly positive and monotone operators
Relaxed composite implicit iteration process for common fixed points of a finite family of strictly
On the characterization of strong convergence of an iterative algorithm for a class of multi-valued
On relaxed viscosity iterative methods for variational inequalities in Banach spaces
Two extragradient approximation methods for variational inequalities and fixed point problems of str
A hybrid extragradient method for general variational inequalities
Convergence of generalized projective modified iteration methods in Banach spaces
Viscosity approximation methods for generalized equilibrium problems and fixed point problems
Strong convergence of composite iterative schemes for zeros of $m$-accretive operators in Banach spa
Equivalence of generalized mixed complementarity and generalized mixed least element problems in ord
Existence of vector mixed variational inequalities in Banach spaces
Hybrid proximal point algorithms for solving constrained minimization problems in Banach spaces
Hybrid steepest descent methods for zeros of nonlinear operators with applications to variational in
Convergence analysis of a hybrid relaxed-extragradient method for monotone variational inequalities
Strong convergence of an iterative algorithm for nonself multimaps in Banach spaces
Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators (2009, Arti
Convergence analysis of iterative sequences for a pair of mappings in Banach spaces
Approximate proximal algorithms for generalized variational inequalities with pseudomonotone multifu
Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinite
Approximate proximal algorithms for generalized variational inequalities with paramonotonicity and p
A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
On the convergence analysis of inexact hybrid extragradient proximal point algorithms for maximal mo
Iterative algorithm for finding approximate solutions of mixed quasi-variational-like inclusions
Iterative approximation of solutions for a class of completely generalized set-valued quasi-variatio
Existence of solutions for generalized vector variational-like inequalities
Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive
General iterative algorithms for solving mixed quasi-variational-like inclusions 2455--2467.
Existence of solutions and variational principles for generalized vector systems
Well-posedness for mixed quasivariational-like inequalities
Generalized variational-like inequalities with compositely monotone-multifunctions
Approximation of common fixed points of families of nonexpansive mappings
Implicit iteration scheme with perturbed mapping for equilibrium problems and fixed point problems o
Existence theorems for generalized vector variational inequalities with pseudomonotonicity and their
On hybrid proximal-type algorithms in Banach spaces
On general variable-step relaxed projection method for strongly quasivariational inequalities
The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
Generalized implicit hybrid projection-proximal point algorithm for maximal monotone operators in Hi
Strong convergence theorems by a relaxed extragradient method for a general system of variational in
Strong convergence of an iterative method with perturbed mappings for nonexpansive and accretive ope
A hybrid steepest-descent method for variational inequalities in Hilbert spaces
Mann-type steepest-descent and modified hybrid steepest-descent methods for variational inequalities
Strong weak convergence theorems of implicit hybrid steepest-descent methods for variational inequal
Weak convergence theorem by a modified extragradient method for nonexpansive mappings and monotone m
Mixed projection methods for systems of variational inequalities
On the Four Conjectures of G G Lorentz Type in Lρ^2[-a, a]
关于m-增生算子零点的粘性复合迭代序列的强收敛性
M/M^k,B/1算子的预解集
一类拟线性椭圆方程的非平凡解
Banach空间中一类新的κ-次增生型变分包含问题解的迭代逼近
非扩张映像不动点的一种变形迭代算法
Banach空间中Φ-强拟压缩映射的Ishikawa迭代过程
有限多个集值映象公共不动点的修正的Mann迭代程序
一类拟线性椭圆变分不等式解的存在性
Iterative Schemes for a Family of Finite Asymptotically Pseudocontractive Mappings in Banach Spaces
关于一对集值映象和两对单值映象的公共不动点定理
Φ-压缩条件下6个映象的公共不动点定理
期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264