Topological Degree via a Degree of Nondensifiability and Applications-Reference-Cited by-同舟云学术

Topological Degree via a Degree of Nondensifiability and Applications

Published:2024-07-18 Issue:7 Volume:13 Page:482
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ouahab Noureddine¹,Nieto Juan J.²^ORCID,Ouahab Abdelghani¹

Affiliation:

1. Laboratory of Mathematics, University Sidi-Bel-Abbès, P.O. Box 89, Sidi-Bel-Abbès 2200, Algeria

2. CITMAga, Departamento de Estatística, Análise Matemática, e Optimización, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Abstract

The goal of this work is to introduce the notion of topological degree via the principle of the degree of nondensifiability (DND for short). We establish some new fixed point theorems, concerning, Schaefer’s fixed point theorem and the nonlinear alternative of Leray–Schauder type. As applications, we study the existence of mild solution of functional semilinear integro-differential equations.

Funder

Mathematics Laboratory and faculty of exact sciences at university Djillali Liabés of Sid-Bel-Abbés

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/7/482/pdf

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