共查询到20条相似文献,搜索用时 93 毫秒
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罗先发 《高校应用数学学报(A辑)》2005,20(3):337-345
研究了复赋范空间中具限制系数的广义多项式集G对无穷序列的最佳同时逼近问题,得到了特征定理;当G是复RS集时还得到了惟一性定理. 相似文献
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在赋范线性空间的非空非紧凸集上建立了集值映象对的一个重合点定理,然后用这一定理改进了文献[1]中的集值映象内向集定理与外向集定理,并得到几个集值映象不动点定理. 相似文献
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在Fuzzy赋范线性空间上引入多值映射的闭性概念与半连续概念,并建立了此空间上的Kakutani不动点定理. 相似文献
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设BC[0,∞)是无界区间[0,∞)上有界连续函数全体,则BC[0,∞)是依赖于参数a>0和p≥1的赋范空间.由Banach逆算子定理,BC[0,∞)是不完备的赋范空间.对a>0,当且仅当p=2时,BC[0,∞)是内积空间. 相似文献
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提出直觉 Fuzzy集的截集的概念 ,并详细讨论其基本性质 ,在此基础上建立直觉 Fuzzy集的一系列分解定理、表现定理与扩张原理 . 相似文献
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《Fuzzy Sets and Systems》2005,151(3):513-547
In this paper, a notion of boundedness of a linear operator from a fuzzy normed linear space to another fuzzy normed linear space is introduced and two types (strong and weak) of fuzzy bounded linear operators are defined. Relation between fuzzy continuity and fuzzy boundedness is studied. Definitions of fuzzy bounded linear functionals are given and the notions of fuzzy dual spaces are developed. The Hahn-Banach theorem, the Open mapping theorem, the Closed graph theorem and the Uniform boundedness principle theorem are established. 相似文献
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In this paper, we first show that there are some gaps in the fixed point theorems for fuzzy non-expansive mappings which are proved by Bag and Samanta, in [Bag T, Samanta SK. Fixed point theorems on fuzzy normed linear spaces. Inf Sci 2006;176:2910–31; Bag T, Samanta SK. Some fixed point theorems in fuzzy normed linear spaces. Inform Sci 2007;177(3):3271–89]. By introducing the notion of fuzzy and α- fuzzy reflexive Banach spaces, we obtain some results which help us to establish the correct version of fuzzy fixed point theorems. Second, by applying Theorem 3.3 of Sadeqi and Solati kia [Sadeqi I, Solati kia F. Fuzzy normed linear space and it’s topological structure. Chaos, Solitons & Fractals, in press] which says that any fuzzy normed linear space is also a topological vector space, we show that all topological version of fixed point theorems do hold in fuzzy normed linear spaces. 相似文献
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该文在赋范线性空间中对集值映射引入锥- Henig有效次梯度和锥- Henig有效次 微分的概念. 借助凸集分离定理证明了锥- Henig有效次微分的存在性, 并且建立了线性泛函为锥- Henig有效次梯度的充要条件. 最后, 对于一类参数 扰动集值优化问题讨论了其在Henig有效意义下的稳定性. 相似文献
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Module Homomorphisms on Random Normed Modules 总被引:6,自引:0,他引:6
ModuleHomomorphismsonRandomNormedModulesGuoTiexin(郭铁信)(DepartmentofMathematics,XiamenUniversity,Xiamen,Fujian,361005)Abstract... 相似文献
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《Fuzzy Sets and Systems》2004,147(3):437-452
In this paper, the Leray–Schauder topological degree theory is developed in a fuzzy normed space. Since the linear topology on this fuzzy normed space is not necessarily locally convex, and since each Menger probabilistic normed space can be considered as a special fuzzy normed space, the degree theory in this paper is different from the degree theory in locally convex linear topological space presented by Nagumo (Amer. J. Math. 73 (1951) 497–511), and it also is an extension of the degree theory in Menger probabilistic normed space studied by Zhang and Chen (Appl. Math. Mech. 10(6) (1989) 477–486). Applying this degree theory, some fixed point theorems for operators are given in fuzzy normed spaces, and some former corresponding results are extended and improved. 相似文献
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《Optimization》2012,61(1):49-62
In this article, we establish theorems of the alternative for a system described by inequalities, equalities and a set inclusion, which are generalizations of Tucker's classical theorem of the alternative, and develop Kuhn–Tucker necessary conditions for efficiency to mathematical programs in normed linear spaces involving inequality, equality and set constraints with positive Lagrange multipliers of all the components of objective functions. 相似文献
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The object of the present paper is to determine the stability of the Hyers-Ulam-Rassias type theorem concerning the Pexiderized quadratic functional equation in intuitionistic fuzzy normed spaces (IFNS). 相似文献
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在拓扑向量空间中,利用Ky Fan截口定理得到一个锥凸向量拟均衡问题弱Pareto解的存在性结果.作为该结果的应用,得到了一个对称向量拟均衡问题在支付映射为锥凸条件下弱Pareto解的存在性定理.该定理在较弱的条件下回答了Fu在文献[1]中提出的第二个问题,即在支付映射为锥凸且连续的条件下对称向量拟均衡问题的弱Pareto解是否存在.最后在赋范线性空间中研究了锥凸对称向量拟均衡问题弱Pareto解集的通有稳定性. 相似文献
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A.K. Katsaras 《Fuzzy Sets and Systems》1984,12(2):143-154
Some of the properties of the fuzzy seminormed and fuzzy normed spaces are studied. Also, the notion of a bornological fuzzy linear space is given and some of the properties of such a space are investigated. 相似文献