2018/07/08 by Delavar Varasteh Tafti, Tafti, Delavar Varasteh, Mahdi Azhini +1
Computer Science · Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.1807.02767
openalex publication_date 2018/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, first we present a new useful way of formulating probabilistic normed spaces. Then by using this formulation and probabilistic normed space version of the Baire category theorem, we prove four important results of functional analysis, i.e. the open mapping, closed graph, principle of uniform boundedness and Banach-Steinhaus theorem in PN-spaces.