THE COMMON FIXED POINT SET OF COMMUTING NONEXPANSIVE MAPPINGS IN CARTESIAN PRODUCTS OF BANACH SPACES WITH THE OPIAL PROPERTY

MONIKA BUDZY?SKA; TADEUSZ KUCZUMOW; MALGORZATA MICHALSKA

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THE COMMON FIXED POINT SET OF COMMUTING NONEXPANSIVE MAPPINGS IN CARTESIAN PRODUCTS OF BANACH SPACES WITH THE OPIAL PROPERTY

机译：具有Banach空间的Banach空间的笛卡尔乘积中交换非扩张映象的公共不动点集。

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摘要

Using the Opial property, we establish a theorem regarding the structure of the common fixed point set of commuting nonexpansive self-mappings of sets in Cartesian products of Banach spaces.

机译：利用Opial属性，我们建立了关于Banach空间的笛卡尔积中交换的非膨胀自映射集的公共不动点集的结构的定理。

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《Journal of nonlinear and convex analysis》 |2014年第1期|共11页
作者
MONIKA BUDZY?SKA; TADEUSZ KUCZUMOW; MALGORZATA MICHALSKA;
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正文语种 eng
中图分类数学;
关键词
Banach space; Cartesian product; common fixed point set; commuting nonexpansive mappings; fixed point; nonexpansive retract; Opial's property;

机译：Banach空间;笛卡尔积;公共不动点集;交换非膨胀映射;不动点;非膨胀缩回;阿皮尔的性质;

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专利

1. THE COMMON FIXED POINT SET OF COMMUTING NONEXPANSIVE MAPPINGS IN CARTESIAN PRODUCTS OF BANACH SPACES WITH THE OPIAL PROPERTY [J] . MONIKA BUDZY?SKA, TADEUSZ KUCZUMOW, MALGORZATA MICHALSKA Journal of nonlinear and convex analysis . 2014,第1期

机译：具有Banach空间的Banach空间的笛卡尔乘积中交换非扩张映象的公共不动点集。
2. Some remarks on the set of common fixed points of one-parameter semigroups of nonexpansive mappings in Banach spaces with the Opial property [J] . Suzuki T Nonlinear Analysis: An International Multidisciplinary Journal . 2004,第3a4期

机译：关于具有Opial性质的Banach空间中非膨胀映射的一参数半群的公共不动点集的一些说明
3. The common fixed point set of commuting holomorphic mappings in Cartesian products of Banach spaces [J] . Monika Budzynska, Tadeusz Kuczumow, Simeon Reich Fixed point theory: An international journal o fixed point theory computation and applications . 2015,第1期

机译：Banach空间笛卡尔积中通态全纯映射的公共不动点集
4. ITERATIVE ALGORITHM TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES [C] . WEI LI, LI-LING DUAN 2008 International Conference on Machine Learning and Cybernetics（2008机器学习与控制论国际会议）论文集 . 2008

机译：Banach空间中无限非扩张映射的公共不动点的迭代算法
5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

机译：超度量Banach空间上非膨胀映射的不动点定理和遍历定理。
6. Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces [O] . Habtu Zegeye, Naseer Shahzad -1

机译：自反Banach空间中Bregman弱相对论非扩张映射的有限个族的公共不动点的强收敛定理
7. A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces [O] . Atid Kangtunyakarn 2013

机译：在一致凸和2光滑Banach空间中找到两个有限族的非扩张严格严格伪压缩映射的不动点集的公共元素和两组变分不等式的新映射

THE COMMON FIXED POINT SET OF COMMUTING NONEXPANSIVE MAPPINGS IN CARTESIAN PRODUCTS OF BANACH SPACES WITH THE OPIAL PROPERTY

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