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proper映象
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  proper mappings
     The Generalized Topological Degree And Fixed Point Theorems of Probabilistic A Proper Mappings
     概率A—proper映象广义拓扑度及其不动点定理
短句来源
     Using the generalized degree of A proper mappings, the existence of periodic solutions for nonlinear vibration is established.
     应用 A-proper映象的广义拓扑度理论 ,对多自由度非线性振动系统周期解的存在性给出了严密的数学基础
短句来源
     THE TOPOLOGICAL DEGREE AND FIXED POINT THEOREM FOR GENERALIZED PROBABILIC A—PROPER MAPPINGS IN M—PN SPACES
     广义概率A—proper 映象的拓扑度及其不动点定理
短句来源
     This paper establishes the topological degree for generalized probabilie A—proper mappings in M—PN
     本文建立了M—PN 空间中广义概率A-proper 映象的拓扑度及其不动点定理。 它是广义A—proper 映象及其不动点定理的推广。
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  “proper映象”译为未确定词的双语例句
     Weakly A-proper Mappings and Its Generalized Degree of Topology
     弱A-proper映象及其广义拓扑度
短句来源
     Topological Degree for Random Multivalued A-proper Mappings
     随机集值A-proper映象的随机广义拓扑度
短句来源
     In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings.
     本文定义了从一个Banach空间的相对开子集到另一个Banach空间的A-proper映象的广义相对拓扑度并且引入了广义P-紧和P_1-紧概念。
短句来源
     We introduced the topological degree for the random multivalued A-proper mappings, using
     本文引入随机集值A-proper映象的随机广义拓扑度的定义,由此得到一些新的随机不动点和随机固有元定理。
短句来源
     In chapter three, based on the topological degree theory of A-proper mappings, we build and discuss the topological degree of monotone mappings in the PN-space,and establish some property of it.
     在第三章中,在A-proper映象拓扑度理论的基础上建立并讨论了单调映象在概率度量空间中的拓扑度,并且证明了它的一些性质。
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  相似匹配句对
     Weakly A-proper Mappings and Its Generalized Degree of Topology
     弱A-proper映象及其广义拓扑度
短句来源
     Topological Degree for Random Multivalued A-proper Mappings
     随机集值A-proper映象的随机广义拓扑度
短句来源
     Chaotic Behavior in the Helleman Mapping
     Helleman映象的紊动性
短句来源
     Continuity of Connectivity Map
     连通映象的连续性
短句来源
     The Applications of A-proper Mapping
     A-proper映射拓扑度的应用
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  proper mappings
Petryshyn[2] studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory.
      
On the other hand, this class of A-proper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately.
      
In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings.
      
Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings
      
Invariance of holomorphic convexity under proper mappings
      
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In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings. Next, we show several existence theorems of positive solutions for the equations involving these mappings. Our theorems improve and extend some results.

本文定义了从一个Banach空间的相对开子集到另一个Banach空间的A-proper映象的广义相对拓扑度并且引入了广义P-紧和P_1-紧概念。其次,我们证明了含这些映象的方程的正解存在性定理.我们的定理改进和推广了最近的一些结果.

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.

郭大钧在1984年获得了锥上全连映象的正不动点定理.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, we first discuss the relations between Brouwer degree of the continuous mapping in Rn f and the degree of the mapping af, obtain some equa-lities on Brouwer degrees and some fixed point theorems, then study the relations between generalized topological degrees of the mappings f and af, which are A-proper mappings in real Banach space with a projectively complete scheme. As applications, we generalize Altman fixed point theorem on p1, compact mappings.

本文首先对R~n中连续映象讨论了af(a≠0)与f的Brouwer度之间的关系,得到了Brou-wer度的几个等式,顺便推出几个不动点定理.在此基础上研究了投影完备的实Banach空间中A-proper映象f与af的广义拓扑度之间的联系.作为应用,推广了关于P_1紧映象的Altman不动点定理.

 
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