[PDF][PDF] Krein-Rutman operators and a variant of Banach contraction principle in ordered Banach spaces

A Benmezai, N Benkaci-Ali - Bulletin mathématique de la Société des …, 2021 - ssmr.ro
Let E be a real Banach space, K be a cone in E and L be a linear positive and compact self
mapping defined on E. The operator L is said to be a Krein-Rutman operaor if it has a …

[PDF][PDF] Fixed Point Index for Simulation Mappings and Applications

A Benmezaï, K Hammache, N Melouane - Analele ştiinţifice ale …, 2023 - sciendo.com
In this paper, we construct the fixed point index for a class of contractive mapping defined by
a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps …

Fixed point theorems in cones and application

S Mechrouk - Mediterranean journal of mathematics, 2020 - Springer
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