The Leray-Schauder topological degree theory is established in the probabilistic linearnormed spaces.Based.on this theory,some fixed point theorems for mappings in theprobabilistic linear normed spaces are shown.
0. IntroductionThe purpose of this paper is to investigate the theory of probabilistic metric spaces (PM-spaces) and its applications. In § 1 we introduce a kind of Menger PM-spaces. By virtue of their basic prop...0. IntroductionThe purpose of this paper is to investigate the theory of probabilistic metric spaces (PM-spaces) and its applications. In § 1 we introduce a kind of Menger PM-spaces. By virtue of their basic properties and the Menger-Hausdorff metric defined for this kind of spaces, in § 2 we shall give some fixed point theorems for multi-valued mappings on PM-spaces. In addition, in § 3 we shall give some fixed point theorems for one-valued mappings on PM-space, which generalize and improve展开更多
基金The projects supported by National Natural Science Foundation of China
文摘The Leray-Schauder topological degree theory is established in the probabilistic linearnormed spaces.Based.on this theory,some fixed point theorems for mappings in theprobabilistic linear normed spaces are shown.
基金Supported by the Science Fund of Chinese Academy of Sciencas.
文摘0. IntroductionThe purpose of this paper is to investigate the theory of probabilistic metric spaces (PM-spaces) and its applications. In § 1 we introduce a kind of Menger PM-spaces. By virtue of their basic properties and the Menger-Hausdorff metric defined for this kind of spaces, in § 2 we shall give some fixed point theorems for multi-valued mappings on PM-spaces. In addition, in § 3 we shall give some fixed point theorems for one-valued mappings on PM-space, which generalize and improve
