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Basic theory and applications of probabilistic metric spaces (II)

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Abstract

This paper is a continuation of the author's previous paper [1], in which the characterizations of various probabilistically bounded sets are presented, and the linear operator theory and fixed point theory on probabilistic metric spaces are given, too.

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References

  1. Zhang Shi-sheng, Basic theory and applications of probabilistic metric spaces (1),Applied Mathematics and Mechanics,9, 2 (1988), 123–133.

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  2. Zhang Shi-sheng,Fixed Point Theory and Applications, Chongqing Publishing House, Chongqing (1984). (in Chinese)

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  3. Zhang Shi-sheng. The metrization of probabilistic metric spaces with applications, Zbornike radova Prirodno-matematickog fakulteta,u Novom Sadu,Serijaza matematiku,15, 1 (1985), 107–117.

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  4. Hadzic, O., Some fixed point theorems in probabilistic metric space, Ibid,,15, 1 (1985), 23–36.

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  5. Zhang Shi-sheng, On the theory of probabilistic metric spaces with applications,Z. Wahrscheinlichkeitstheorie verw. Gebiete,67 (1984), 85–94.

    Article  Google Scholar 

  6. Zhang Shi-sheng, Probabilistic metric spaces and fixed point theorems for mappings,J. Math. Research Expos. 3 (1985), 23–28

    Google Scholar 

  7. Constantin, Gh., On some classes of contraction mappings in Menger spaces,Seminarul de Teoria Probabilitatilor si Applicatii, 76 (1985), 1–10.

    MathSciNet  Google Scholar 

  8. Radu, V., On some fixed point theorems in probabilistic metric spaces, Ibid.,, 74 (1985), 1–10.

    MathSciNet  Google Scholar 

  9. Nadler, S.B., Multi-valued contraction mappings,Pacific J. Math.,30 (1969), 475–487.

    MATH  MathSciNet  Google Scholar 

  10. You Zhao-yong, et al., On the linear operators in probabilistic normed linear spaces and the others. (to appear)

  11. Zhang Wen-xiu, et al., On the character of probabilistic diameter in probabilistic metric spaces,J. Engneering Mathematics; 2 (1985).

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu

    Zhang Shi-sheng

Authors
  1. Zhang Shi-sheng
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Supperted by the Science Fund of Chinese Academy of Sciences.

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Shi-sheng, Z. Basic theory and applications of probabilistic metric spaces (II). Appl Math Mech 9, 213–225 (1988). https://doi.org/10.1007/BF02456137

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  • DOI: https://doi.org/10.1007/BF02456137

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