Multivalued and random version of Perov fixed point theorem in generalized gauge spaces

Author:

Laadjel A.1,Nieto Juan J.2ORCID,Ouahab Abdelghani3ORCID,Rodríguez-López Rosana2ORCID

Affiliation:

1. Laboratory of Fixed Point Theory and Applications , École Normale Supérieure , Kouba , Algiers , Algeria

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

3. Laboratory of Mathematics , University of Djillali Liabes , PO Box 89, 22000 Sidi-Bel-Abbès , Algeria

Abstract

Abstract In this paper, we present some random fixed point theorems in complete gauge spaces. We establish then a multivalued version of a Perov–Gheorghiu’s fixed point theorem in generalized gauge spaces. Finally, some examples are given to illustrate the results.

Funder

Xunta de Galicia

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

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