Demand Functions and a Characterization of Reflexivity

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

Characterizing sub-topical functions

In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtai...

Kant and Hegel on Aesthetic Reflexivity

The paper aims at reevaluating a conception of the aesthetic that was developed by Kant and Hegel but that has been widely neglected due to the fact that their positions in aesthetics have been wrongly considered to be antagonistic to one another. The conception states that the aesthetic is a practice of reflecting on other human practices. Kant was the first to articulate this conception, but ...

Metrical Characterization of Super-reflexivity and Linear Type of Banach Spaces

We prove that a Banach space X is not super-reflexive if and only if the hyperbolic infinite tree embeds metrically into X. We improve one implication of J.Bourgain’s result who gave a metrical characterization of super-reflexivity in Banach spaces in terms of uniforms embeddings of the finite trees. A characterization of the linear type for Banach spaces is given using the embedding of the inf...

A reverse logistics chain mathematical model for a sustainable production system of perishable goods based on demand optimization

Sustainability in the supply chain means pushing the supply chain to focus on social, economic and environmental aspects, and addressing the existing problems in the traditional supply chain. Considering the importance of evaluating supply chain networks, especially in the field of perishable commodities, this paper aimed to design a mathematical model for the reverse supply chain of perishable...