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    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
    Weakly A-proper Mappings and Its Generalized Degree of Topology
    弱A-proper映象及其广义拓扑度
    Topological Degree for Random Multivalued A-proper Mappings
    随机集值A-proper映象的随机广义拓扑度
    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。
    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。
    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
    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。
    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, 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.
    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.
    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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