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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 104–112
DOI: https://doi.org/10.4213/mzm8663 (Mi mzm8663) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces

Qiuying Li, Chuanxi Zhu

Nanchang University
Full-text PDF (428 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8663
Abstract: In the paper, the topological degree for a compact continuous operator defined on an open subset of a Menger PN-space is generalized. The new concept of fixed-point index in Menger PN-spaces is introduced, the most important properties of the fixed-point index are established, and some other results are given.
Keywords: fixed-point index, Menger PN-space, $T$-retraction, compact continuity, probabilistic metric space, distribution function.
Received: 03.03.2009
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 94–101
DOI: https://doi.org/10.1134/S0001434611070108
Bibliographic databases:
Document Type: Article
UDC: 517.988.523
Language: Russian
Citation: Qiuying Li, Chuanxi Zhu, “The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces”, Mat. Zametki, 90:1 (2011), 104–112; Math. Notes, 90:1 (2011), 94–101
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm8663
  • https://www.mathnet.ru/eng/mzm/v90/i1/p104
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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