Condensing and Semi-continuous Multi-functions on Uniform Spaces

2015/11/24 by Raúl Fierro, Fierro, Raúl
Computer Science · Mathematics · #47H04 #47H10 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #Optimization and Variational Analysis #Primary 54E15 #Secondary 06A06

paper · pdf · doi:10.48550/arxiv.1511.07554

openalex publication_date 2015/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions allow us to locate, in the context of uniform spaces, some classical results existing in nonlinear analysis. An application of our results is given for operators defined on locally convex spaces. The main aim of this work is to unify some well-known results existing in complete metric and vector topological spaces.

Citations

• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

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