On the theory of probabilistic metric spaces with applications
Copyright policy )On the theory of probabilistic metric spaces with applications
The purpose of this paper is to investigate the theory of probabilistic metric spaces and its applications. In {\S} 1 we introduce a kind of Menger probabilistic metric space. By virtue of their basic properties and the Menger-Hausdorff metric defined for this kind of spaces we obtain in {\S} 2 some fixed point theorems for multi-valued mappings on probabilistic metric spaces. In addition, in {\S} 3 we present some fixed point theorems for one- valued mappings on probabilistic metric spaces, which generalize and improve some recent results of \textit{I. Istrăteşcu} [Rev. Roum. Math. Pures Appl. 26, 431-435 (1981; Zbl 0476.60006)]; \textit{V. M. Sehgal} and \textit{A. T. Bharucha-Reid} [Math. Syst. Theory 6, 97-102 (1972; Zbl 0244.60004)] and \textit{G. Bocşan} [Proc. 5th Conf. Probab. Theory, Braşov 1974, 153-155 (1977; Zbl 0439.60068)].
- Sichuan University China (People's Republic of)
Fixed-point and coincidence theorems (topological aspects), probabilistic metric spaces, Menger-Hausdorff metric, Random operators and equations (aspects of stochastic analysis), fixed point theorems for multi-valued mappings, Probability theory on algebraic and topological structures
Fixed-point and coincidence theorems (topological aspects), probabilistic metric spaces, Menger-Hausdorff metric, Random operators and equations (aspects of stochastic analysis), fixed point theorems for multi-valued mappings, Probability theory on algebraic and topological structures
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