Fixed point theorems in generalized locally convex spaces and applications-Reference-Cited by-同舟云学术

Fixed point theorems in generalized locally convex spaces and applications

Published:2023 Issue:1 Volume:37 Page:221-234
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Bahidi Fatima¹,Boudaoui Ahmed²,Krichen Bilel¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

2. Laboratory of Mathematics Modeling and Applications, University of Adrar, Adrar, Algeria

Abstract

In this paper, we present the concept of generalized locally convex spaces, by introducing the socalled family of vector-valued seminorms. Some extensions of classical fixed point theorems in Hausdorff complete generalized locally convex spaces are given. These results are formulated in terms of continuity and L-contractions. As applications, we study the existence and uniqueness of solutions for systems of first order differential equations with impulsive.

Publisher

National Library of Serbia

Subject

General Mathematics

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