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The theory and applications of generalized H-space

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Abstract

This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties for generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1–2, 8, 10].

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Authors and Affiliations

  1. Department of Mathematics, Xuzhou Teachers College, Xuzhou

    Che Su-bing

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  1. Che Su-bing
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Communicated by Zhang Shi-sheng

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Su-bing, C. The theory and applications of generalized H-space. Appl Math Mech 12, 1083–1090 (1991). https://doi.org/10.1007/BF02457491

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  • DOI: https://doi.org/10.1007/BF02457491

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