THE EMBEDDED THEOREM FOR FAMILY OF QUASI METRIC SPACES IN MENGER SPACE AND ITS APPLICATION

In this paper the notion of embedding for family of quasi metric spaces in Mengerspaces is introduced and its properties are investigated.A common fixed point theorem forsequence of continuous mappings in Menger spaces is proved.These mappings are assumedto satisfy some generalizations of the contraction condition.The proving technique hereinseems to be new even for mappings in Menger spaces.     

积分型变测度算法及其若干应用

本文对积分型变测度算法作进一步分析,并考虑该算法在区域变动算法,变测度算法的重心序列,无限维测度的有限维逼近等问题上的应用。     

Menger空间的收敛性和隔离性

Suppose that (X,F,△) is a Menger spece and that t-norm △ satisfies (?)△(x, a) = a for all a∈[0,l]. The main result of the paper is as follows:     

Fixed Point Theorems for Mappings in Compact Menger Space

Suppose that (X,△)is a Menger space, t-norm ⊿ satisfies sup x<1 ⊿(x,a)=a for all a∈[0, 1]. From the remark in [1, p. 330] we know that (X, ⊿) is a Hausdorff space in the topology induced by the family of neighborhoods     

经济平衡点的一般理论和求法

经济平衡点的理论和求法是数学经济学的重要课题之一.这里,我们将介绍经济平衡点问题的提法,一般理论和求经济平衡点的两条途径.一、纯交换经济的平衡问题1.消费者理论我们设想,消费者可以从某个商品集合X中选购商品,通常假设X是n维欧氏空间R”中的非负卦限R_+~n.某消费者在X中取x=(x_1,…,x_n)表示他选取第一种商品x_1(个单位),第二种商品x_2,…,取第n种商品x_n(个单位).我们称x为消费向量     

一类型集值积分方程解的存在性

本文设(X,)是Banach空间,L(X)是X的非空有界闭子集族,H是导出的Hausdorff度量.此外,∧是一指标集.作为准备,我们有以下Chen和Shin的结果对集值映象情形的推广: 引理设T_λ:X→L(X)(λ∈∧),使得这里函数φ满足(φ):φ:[0,∞)→[0,∞)不减,φ(t)0),且(?)α≥0,存在β>1及收敛序列{t_k}:t_0=0,t_1≥α,t_(k 1)=t_(k φ)(β(t_k-t_(k-1))(k=1,2,…),则存在     

ROBUST ANALYSIS AND GLOBAL MINIMIZATION OF A CLASS OF DISCONTINUOUS FUNCTIONS (Ⅰ)

In this paper we define and investigate robust points, sets and functions which will be utilizedto study a global minimization problem of a discontinuous function over a disconnected set by anintegral approach.     

ROBUST ANALYSIS AND GLOBAL MINIMIZATION OF A CLASS OF DISCONTINUOUS FUNCTIONS (Ⅱ)

In this Paper we continue to investigate global minimization problems. An integral approach is applied to treat a global minimization problem of a discontinuous function. With the help ofthe theory of measure (Q-measure) and integration, optimality conditions of a robust function over arobust set are derived. Algorithms and their implementations for finding global minima are proposed.Numerical tests and applications show that the algorithms are effective.