共查询到20条相似文献,搜索用时 15 毫秒
1.
Naseer Shahzad 《Journal of Mathematical Analysis and Applications》2004,296(1):302-308
The paper presents new random fixed point results for pseudo-contractive random operators. 相似文献
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Tomá s Domí nguez Benavides Genaro Ló pez Acedo Hong-Kun Xu 《Proceedings of the American Mathematical Society》1996,124(3):831-838
Some random fixed point theorems for set-valued operators are obtained. The measurability of certain marginal maps is also studied. The underlying measurable space is not assumed to be a Suslin family.
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The aim of this paper is to prove some random fixed point theorems for asymptotically nonexpansive random operator defined
on an unbounded closed and starshaped subset of a Banach space.
相似文献
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获得了关于超凸度量空间中非扩张可交换映象族不动点存在性的更一般结果.证明了可数个非扩张可交换映象的公共ε-几乎不动点集的超凸性,并在一定条件下证明了任意个非扩张可交换映象的公共ε-几乎不动点集的超凸性.还讨论了Baillon的两个重要结果间的等价关系. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2004,57(2):173-181
Let be a measurable space, X and Y separable Banach spaces, and C a weakly compact subset of X. Let and be continuous random operators. Then the deterministic solvability of the equationimplies the stochastic solvability of it provided that (f−T)(ω,.) is demiclosed at zero and T(ω,C) is bounded for each . As applications, random fixed points of various types of pseudo-contractive and k-set-contractive random operators are obtained. 相似文献
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Common fixed points for maps on cone metric space 总被引:1,自引:0,他引:1
Dejan Ili? 《Journal of Mathematical Analysis and Applications》2008,341(2):876-882
The purpose of this paper is to generalize and to unify fixed point theorems of Das and Naik, ?iri?, Jungck, Huang and Zhang on complete cone metric space. 相似文献
13.
L. Gó rniewicz S. A. Marano M. Slosarski 《Proceedings of the American Mathematical Society》1996,124(9):2675-2683
For a class of contractive multivalued maps defined on a complete absolute retract and with closed bounded values, the set of fixed points is proved to be an absolute retract. This result unifies and extends to arbitrary absolute retracts both Theorem 1 by Ricceri [Atti Accad. Naz. Lincei Rend. Cl.Sci. Fis. Mat. Natur. (8) 81 (1987), 283--286] and Theorem 1 by Bressan, Cellina, and Fryszkowski [Proc. Amer. Math. Soc. 112 (1991), 413--418].
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Fixed point and homotopy results are presented for generalized contractions on complete gauge spaces. In addition we obtain random fixed point results for generalized contractions. 相似文献
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Jie-Hua Mai 《Topology and its Applications》2010,157(16):2572-2579
In this paper we discuss some basic properties of chain reachable sets and chain equivalent sets of continuous maps. It is proved that if f:T→T is a tree map which has a chain movable fixed point v, and the chain equivalent set CE(v,f) is not contained in the set P(f) of periodic points of f, then there exists a positive integer p not greater than the number of points in the set End([CE(v,f)])−Pv(f) such that fp is turbulent, and the topological entropy . This result generalizes the corresponding results given in Block and Coven (1986) [2], Guo et al. (2003) [6], Sun and Liu (2003) [10], Ye (2000) [11], Zhang and Zeng (2004) [12]. In addition, in this paper we also consider metric spaces which may not be trees but have open subsets U such that the closures are trees. Maps of such metric spaces which have chain movable fixed points are discussed. 相似文献
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The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature. 相似文献
18.
Hilbert空间中的一类随机算子方程 总被引:3,自引:0,他引:3
本文提出了随机强制算子与随机强单调算子的新概念。研究了在Hilbert空问中一类随机算子方程的随机解。同时推广了著名的Krasnoselkii定理。 相似文献
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Some random approximations and random fixed point theorems for 1-set-contractive random operators 总被引:3,自引:0,他引:3
Liu Li-Shan 《Proceedings of the American Mathematical Society》1997,125(2):515-521
In this paper, we will prove that the random version of Fan's Theorem (Math. Z. 112 (1969), 234-240) is true for 1-set-contractive random operator , where is a weakly compact separable closed ball in a Banach space and is a measurable space. This class of 1-set-contractive random operator includes condensing random operators, semicontractive random operators, LANE random operators, nonexpansive random operators and others. As applications of our theorems, some random fixed point theorems of non-self-maps are proved under various well-known boundary conditions.
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《随机分析与应用》2013,31(1):69-77
Abstract The purpose of this paper is to construct a random Ishikawa iterative sequence for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to T. 相似文献