关于渐进拟非扩张映射迭代序列的收敛性

在完备凸度量空间内对渐进拟非扩张映射定义了一个新的序列,并证明了此迭代序列收敛到某一不动点的充要条件,其结果推广了许多最近的一些重要结果.

Abstract：

A new iteration process is defined for asymptotically quasi-nonexpansive mappings in convex metric spaces,and some sufficient and necessary conditions are proved for the iterative scheme converging to the fixed point.The results presented in this paper generalize and unify many important known results in recent literature.     

Hilbert空间中平衡问题和不动点问题的弱收敛定理

在Hilbert空间中,给出关于寻找平衡问题解集和两族无限非扩张映射不动点集的公共元的Ishikswa迭代格式,并得出此迭代的弱收敛定理.

Abstract：

A new Ishikawa iteration scheme is proposed for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of two infinitely nonexpansive mappings in Hilbert space. A weak convergence theorem is established for this iteration.     

平衡与不动点问题的强收敛定理

在Hilbert空间中用粘性逼近的方法引入了一个关于平衡问题与不动点问题的混合迭代格式,并证明了由此迭代格式导出的序列强收敛到平衡问题解集与有限个非扩张映射公共不动点集的一个公共元.

Abstract：

The aim of this paper is to introduce a new general composite iterative scheme by visosity approximation method in a Hilbert space and to prove that the sequence generated by the iterative scheme converges strongly to a common point of the set of solutions of an equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings.     

Hilbert空间中渐近非扩张半群的修正粘性迭代

在Hilbert空间中运用了数学规划中hybrid方法证明了关于渐近非扩张半群的修正粘性迭代强收敛定理.

Abstract：

The strong convergence theorems of modified viscosity iterative for asymptotically nonexpansive semigroups in a Hilbert space are proved by the hybrid method in mathematical programming.     

一个迭代序列的不动点问题变分不等式问题及平衡问题

介绍了在Hilbert空间中求解平衡问题,非扩张映射不动点问题及变分不等式问题公共解的迭代序列.在一些参数控制条件下给出了迭代序列的强收敛定理.

Abstract：

This paper introduces the iterative sequences for finding the common solution of an equilibrium problem,a fixed point problem of a nonexpansive mapping and the variational inequality problem in a Hilbert space.Some strong convergence theorems of the iterative sequences are obtained under some parameter controlling conditions.     

关于三个问题的混合粘性迭代

在Hilbert空间中,对求解混合平衡问题、非扩张映射不动点问题及单调L-Lipschitz连续映射变分不等式问题解的公共元,引入了由粘性迭代方法确定的迭代序列.在一些参数控制条件下获得了一个强收敛定理.

Abstract：

This paper introduces an iterative sequence for finding a common element of the set of solutions of a mixed equilibrium problem,the set of fixed point problem of nonexpansive mapping and the set of solutions of the variational inequality problem.A strong convergence theorem is obtained under some parameter controlling conditions.     

有限一致拟-李卜希兹映象族公共不动点的逼近

在凸度量空间内,研究了带误差的Ishikawa型迭代方法逼近有限一致拟-李卜希兹映象族的公共不动点.在一定条件下,给出了带误差的Ishikawa迭代序列收敛于有限一致拟-李卜希兹映象族的公共不动点的充要条件.

Abstract：

The purpose of this paper is to study some kind of Ishikawa type iterative scheme with errors to approximate a common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results .     

Nutrient uptake requirements with increasing grain yield for rice in China

Improved estimates of nutrient requirements for rice（Oryza sativa L.）in China are essential to optimize fertilization regulation for increasing grain yields and reducing the potential of environmental negative influences,especially under high-yielding intensive systems.A database involving rice grain yields,nutrient concentrations and accumulations collected from on-field station experiments in the literatures published from 2000 to 2013 in China was developed to understand the relationships between grain yields and plant nutrient uptakes,and to quantify nutrient requirements for different yield levels.Considering all data sets,rice grain yield ranged from 1.4 to 15.2t ha^-1with the mean value of 7.84t ha^-1,and ca.10.4%of yield observations were higher than the yield barrier level of 10 t ha^-1.N requirement to produce one ton grain was 21.10 kg for the yield range<4.0t ha^-1with a high variation of 45.8%.Except of the yield range<4.0t ha^-1,the values of N requirement,firstly increased from 18.78 kg for yield range 4.0-5.5 t ha^-1to 20.62 kg for yield range 7.0-8.5 t ha^-1,then decreased slightly to 19.67 and19.17 kg for the yield range 8.5-10 and>10 t ha^-1,respectively.Phosphorus（P）and potassium（K）requirements showed increasing trends,from 3.51 and 19.87 kg per t grain for<4.0 t ha^-1yield range to 4.10 and 21.70 kg for>10.0t ha^-1range.In conclusion,nutrient requirement varied with increasement of grain yield,and N,P and K presented various response trends,increasing,declining or stagnating,which would be of great benefit for improving fertilizer strategies.     

Hilbert空间中一类新的包含A-单调映像的广义集值变分包含组

在Hilbert空间中给出了一类新的包含A-单调映像的广义集值变分包含组.通过研究A-单调映像的性质,讨论了A-单调映像的预解算子及其Lipschitz连续性.提出了解这类变分包含组的一个新的迭代算法并在适当的假设下建立其强收敛特征.

Abstract：

A new system of generalized set-valued variational inclusions involving A -monotone mappings is given in Hilbert spaces. By studying the properties of A-monotone mapping, the resolvent operator for A-monotone mappings and its Lipschitz continuity are discussed. A new iterative algorithm for solving this system of generalized setvalued variational inclusions is proposed and its strong convergence criteria are established under appropriate assumptions.     

B值鞅的Hàjek-Rènyi型不等式及其应用

首先得到了取值于Banach空间的鞅的Hàjek-Rèniy型不等式,然后利用此不等式给出了p-一致光滑空间刻划的充要条件.

Abstract：

First, a Hàjek-Rènyi type inequality for Banach space valued martingales is given, then the necessary and sufficient conditions of characterizing p-uniformly smoothable Banach space are given by this inequality.