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 wedge THE ASYMPTOTIC METHOD FOR CALCULATING NATURAL FREQUENCIES OF LONGITUDINAL AND TORSIONAL VIBRATION OF WEDGE—SHAPED STRAIGHT ROD 楔形直杆纵振与扭振自主频率计算的渐近法 THE SOLVABILITY OF x=Ax+λBx in WEDGE WITH A AND B A-PROPER MAPPINGS A-固有算子方程x=Ax+λBx在楔形中的可解性 DEMI COMPACT 1-SET CONTRACTIVE MAPPINGS FOR ALTMAN′S THEOEM IN A WEDGE 楔形上半紧1-集压缩映射的Altman定理 Circular Wedge Fuzzy Comlex Numbers and Their Operations 圆楔形模糊复数及其运算 Weighted Homotopy Formulas on a Local q-Convex Wedge in a Complex Manifold 复流形局部q-凸楔形上带权的同伦公式 An Extension of Altman’s Inequality in a Wedge 楔形上Altman不等式的推广 In chapter three, for monotone operators we establish the following theoryTHEOREM 3.1.1 Let  be bounded, open and convex, and  be a quasinormal wedge with quasinormal constant  of . 在第三章中,关于单调算子我们得到定理3.1.1 设为有界开凸集,是中的拟正规常数为 的拟正规楔形, 为有界,单调,次连续算子,并且对任意, 是集压缩映象,为集压缩映象. Let F be a wedge in a real Banach Space X and DX be a bounded open set. Suppose that A:_F→CK(F) be u. 设F件实Banach空间X中的楔形,DX是有界开集,A:_F→CK(F)是u. In this paper,a new solvability result of x=Ax+λBx with A and B A-proper operators is obtained,which partially an-swers an open problem by Petryshyn in 1981.With application of this result,new fixed point theorems of the expansion andcompression in a wedge is obtained. 在这篇文章中,得到了一个关于A-固有算子方程x=Ax+λBx在楔形上的可解性的新结果,它部分的回答了Petryshyn1981年提出的一个开问题,由这个结果还导出一个新的拉伸与压缩的不动点定理. In this paper, we give some results for the solution of Ax=μx in a wedge with a Demi Compact 1 set Contractive mapping A in a Banach space on the basis of documents -. 本文在［1］－［5］的基础上给出Banach空间中楔形上具半紧1－集压缩映射A的Ax＝μx的解的某些结果。 The basic theory of fuzzy complex sets is appplied to give the definition of circular wedge fuzzy complex numbers, and to discuss the properties of bounded circular wedge closed fuzzy complex numbers and their operation in this paper. 运用模糊复集合的基本理论 ,给出圆楔形模糊复数的定义 ,并研究了有界圆楔形闭模糊复数的性质及其基本运算。 In the paper, we give out some results for the solution of Ax = μx in a wedge with a Demi-compact 1-set contractive mapping A in a Banach space. 本文给出 Banach 空间中楔形上半紧 1-集压缩映象 A 的方程 Ax = μx 解的某些结果。 AN ASYMPTOTIC EXPANSION FOR ELASTIC-PLASTIC WAVES IN A WEDGE ROD 楔形杆中弹塑性波的一种渐近展开式 Non-zero fixed point theorems for mult-valued mappings in wedge 楔形上集值映象的非零不动点定理 As far as we know,there are no satisfactory analytic methods to the elastic-plastic wave problem in a wedge rod. 据我们所知,楔形杆中弹塑性波尚未有很好的分析方法。 In the paper [1],the elastic wave propagation in a conical shell has been studied. and it has been found that the wedge rod is a good approximation for a conical shell under axial impulsive loading. 对弹性波有文献[1,2]等,其中文献[1]研究了圆锥壳轴向撞击的波动问题,发现楔形杆是其很好的近似,故后者的研究对圆锥壳具有重要意义。 In this paper using theory of fixed point index for condensing maps and relati-ve topoloyical degree for A-proper maps,some new non-zero fixed point theorems formult-valued mappings in wedge are obtained. 张庆雍(1987)和丁协平(1986)改进和推广了郭的定理. 本文利用凝聚映象的不动点指数和A-proper 映象的相对拓扑度理论,获得了楔形上集值映象的一些新的不动点定理,这些结论改进和推广了郭、张和丁的结果. In this paper, generation and development of impacting wave in π/2 angle wedge in case of shear pulse with constant velocity have been investigated by means of the methods of self-similarity and complex function in elastodynamics. 本文利用弹性动力学中的自相似方法和复变函数论方法,研究了在脉冲匀速运动剪切载荷作用下π/2角楔形弹性体中冲击波的形成和发展。 In this paper using theory of the fixed point index of 1-set-contraction mappings, a new fixed point theorem for expansion and compression mappings in a wedge is obtained. 本文利用1-集压缩映射的不动点指数证明了在楔形上的拉伸与压缩不动点定理. 我们的结论改进和推广了前人的一些结果. Abstract In this paper,we extend some results of Altman's theorem on the basis of documents[1]-[6]. We get some fixed point theorems for P1-compact l-set contractive mappings. Infurther,we consoder the fixed point of the A-proper reciprocal operators and extend the Alltman's theorem in a Wedge. 本文于［1］－［6］的基础上在Banach空间中关于P1－紧与半紧1－集压缩映射的不动点与方程Ax＝μx的解以扩充Altman定理的某些结果既提到A－Proper算子的反演算子的不动点，也提到楔形上Altman定理其主要结果是定理1、定理2与定理9、定理12本文是［3］的继续。

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