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a-proper映象
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  a-proper mappings
     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
     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
     This gives the topological degree and fixed point theorems ofrobabilistic A-proper mappings on probabilistie normed linear spaces(E,, A)which satisfy sup t<1 △(t,t)=1 and has separatiable bases.
     本文拟在概率赋范线性空间(E、F、△),且具有可列基的空间上建立概率A-proper映象拓扑度及其相应的不动点定理。
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  “a-proper映象”译为未确定词的双语例句
     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
     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.
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。
短句来源
  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
     Abstrat A.
     A.
短句来源
     Xue and H. A.
     A.
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  a-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
      


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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