位置：成果数据库 > 期刊 > 期刊详情页
关于一对集值映象和两对单值映象的公共不动点定理
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]杭州师范大学理学院,浙江杭州310036
  • 相关基金：Foundation item： Supported by the National Natural Science Foundation of China（10771141）; the Natural Science Foundation of Zhejiang Province（Y6110287） and Teaching Reformation Foundation of Graduate Student of Hangzhou Normal University.
作者： 余静[1], 谷峰[1]
关键词： 弱相容映象, D-映象, 单值和集值映象, 公共不动点, weakly compatible maps, D-mappings, single and set-valued maps, common fixed points
中文摘要：

该文的主要目的是，对于一类严格压缩条件，在不具有紧性和不使用连续性的条件下，建立了一对集值映象和两对单值映象的公共不动点定理．定理推广和改进了一些现有文献的相应结果．

英文摘要：

Under strict contractive conditions, the paper established some common fixed point theorems for a pair of set-valued mappings and two pairs of single-valued mappings with no compacity and continuity. The theorems extended and improved the corresponding results of some existing literatures.

同期刊论文项目
　非线性算子方程与变分不等式解的迭代算法研究
期刊论文 34
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空间中广义投影变形迭代法的收敛性
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
Φ-压缩条件下6个映象的公共不动点定理
锥度量空间中四个自映象的公共不动点定理
偏序2-距离空间中压缩型映象的公共耦合不动点定理
完备度量空间中一类平方型压缩映象的公共不动点定理
2-距离空间中一类Ф-压缩条件下的公共不动点定理
锥度量空间中两对非相容映象的一个新的公共不动点定理
偏序G-度量空间中几个新的偶合不动点定理
2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理
b-度量空间中弱相容映象族的公共不动点定理
b-度量空间中两对自映象的公共不动点定理
b-度量空间中三次方型压缩映象的一个新的公共不动点定理
2-距离空间中（ψ,φ,θ）-压缩映象的公共耦合不动点定理
三项展开式的性质及应用
G-度量空间中四个映象的公共不动点定理
锥度量空间中扩张映象的不动点定理
锥度量空间中两对反交换映射的公共不动点定理
G-度量空间中Af型非相容映象对的一个新的公共不动点定理
关于Q变换及其黑洞数问题研究
Φ-压缩条件下6个映象的公共不动点定理
锥度量空间中映象的一个新的公共不动点定理
S-度量空间中三次幂型映像的公共不动点定理
乘积度量空间中扩张型映像的公共不动点定理
G-度量空间中几个新的不动点定理
四项展开式的性质及其应用
度量空间中六个映象的一个新的公共不动点定理
b-度量空间中Φ-弱交换映像的公共不动点定理
b-度量空间中四个映象的一个新的公共不动点定理
2距离空间中6个自映象的公共不动点定理
四次方型压缩映象的一个新的公共不动点定理
满足公共（E．A）性质的三对自映象的一个新的公共不动点定理
b-度量空间中的一类平方型Φ-压缩映象的公共不动点定理
S-度量空间中二次方型压缩映象的公共不动点定理
G-度量空间中Altman积分型映象的几个新的公共不动点定理
具有（Ag）型Φ-弱交换条件的六个映象的公共不动点定理
期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965