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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 1 (January 2022)   > Article

Krasnoselskii-type fixed point theorem in ordered Banach spaces and application to integral equations

Théorème du point fixe de type Krasnoselskii dans les espaces de Banach ordonnés et application aux équations intégrales


Abdelhamid Benmezaï
Faculty of Mathematics - USTHB
Algeria



Published on 11 January 2022   DOI : 10.21494/ISTE.OP.2021.0759

Abstract

Résumé

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In this paper, we present a variant of Krasnoselskii’s fixed point theorem in the case of ordered Banach spaces, where the order is generated by a normal and minihedral cone. In such a structure, there is a possibility to give a new sence to the concept of contraction.

In this paper, we present a variant of Krasnoselskii’s fixed point theorem in the case of ordered Banach spaces, where the order is generated by a normal and minihedral cone. In such a structure, there is a possibility to give a new sence to the concept of contraction.

Fixed point theory Cones Positive operators

Fixed point theory Cones Positive operators