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具有扰动映射族的不动点的普遍存在性

GENERIC EXISTENCE OF FIXED POINTS FOR A SET OF MAPPINGS WITH PERTURBATION
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摘要 设X为实Banach空间,D是X中非空有界闭凸集,本文证明了D上一类具有全连续扰动的γ-非膨胀映射族或具有强连续扰动的广义压缩映射族M在Baire纲的意义下,几乎所有的映射都具有不动点。 In this paper, the author discuss the problem of the generic existence of fixed points for a set of mappings with perturbation in a bounded closed closed convex nonempty subset of a real Banach space and obtain some results.
作者 张秀之 陈生
出处 《江西大学学报(自然科学版)》 1989年第1期56-60,共5页
关键词 剩余集 强连续 扰动映射 不动点 residual subset strongly continuous the mapping with perturbation fixed point
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参考文献2

  • 1Giovanni Vidossich. Existence, uniqueness and approximation of fixed points as a generic property[J] 1974,Boletim da Sociedade Brasileira de Matemática(1):17~29
  • 2W. V. Petryshyn. Structure of the fixed points sets of k-set-contractions[J] 1971,Archive for Rational Mechanics and Analysis(4):312~328

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