Banach空间中L-Lipschitzian映射对的公共不动点逼近定理

研究Banach空间中L-Lipschitzian映射对的公共不动点逼近问题.设E表示实Banach空间,K是E中的非空闭凸子集,T,S：K→K是L-Lipschitzian映射,{xn].是带平均误差项的迭代序列,我们给出了{xn）强收敛于T和S的一个公共不动点的充分必要条件,这一结果推广了Banach空间不动点逼近定理.     

Some results of variational inclusion problems and fixed point problems with applications

This paper introduces a general iterative algorithm to approximate a common element in the solution set of quasi-variational inclusion problems and the common fixed point set of an infinite family of nonexpansive mappings. It is proven that the iterative sequences generated in the proposed iterative algorithm converge strongly to some common element in the framework of the real Hilbert spaces.     

Hilbert空间中关于不动点问题粘滞逼近法的一个修正（英文）

本文对Hilbert空间中关于非扩张映射不动点问题的粘滞逼近法提出一个修正,该修正后的算法取消了粘滞逼近法中的一个控制条件,并建立了该算法的一个强收敛定理.     

Banach空间中Bregman拟非扩张映射分裂公共不动点的隐式迭代算法

本文在Banach空间中研究了关于Bregman拟非扩张映射的分裂公共不动点问题的修正隐式法则,给出了一种新的迭代算法,在一定条件下证明了迭代序列的强收敛定理.作为应用,将所得的结果应用于零点问题和均衡问题的求解.     

Hilbert空间中关于平衡与变分不等式问题及无限族非扩张映射的弱收敛定理

本文根据外梯度方法引进一新的迭代序列来寻找三个集合的公共元素.这三个集合分别是无限个非扩张映射的公共不动点集、平衡问题的解集与所含映射为单调、Lipschitz连续的变分不等式问题的解集.所得结果提高和推广了许多作者的相应结果.     

锥度量空间中扩张映射的公共不动点定理

在不要求映射的连续性和锥的正规性的条件下,我们得到扩张映射的几个公共不动点定理,所得结果改进和推广了原有的许多重要结论.     

ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS

The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.     

Strong convergence theorems of common elements for equilibrium problems and fixed point problems in banach spaces

In this paper,we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-φ-non-expansive mappings and the set of solutions of an equilibrium problem.We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property (K).     

Banach空间中渐近非扩张映射不动点的粘性逼近

在一致凸并具有一致G可微范数的Banach空间中,研究一类渐近非扩张映象迭代序列的收敛性,给出强收敛定理.     

Hilbert空间中关于变分不等式问题和不动点问题的粘性隐式中点算法

该文在Hilbert空间中研究了关于两个逆强单调算子的一般变分不等式问题和非扩张映射的不动点问题的粘性隐式中点算法,用修改的超梯度方法,在对参数作适当的限制下,得到了强收敛定理,所得结果推广和提高了许多最新文献中的相应结果.