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

[Forthcoming] 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 9 June 2021   DOI :

Abstract

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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