Metabolic Complementation in Bacterial Communities: Necessary Conditions and Optimality

Metabolic Complementation in Bacterial Communities: Necessary Conditions and Optimality

Bacterial communities may display metabolic complementation, in which different members of the association partially contribute to the same biosynthetic pathway. In this way, the end product of the pathway is synthesized by the community as a whole. However, the emergence and the benefits of such complementation are poorly understood. Herein, we present a simple model to analyze the metabolic i...

Necessary Optimality Conditions in Pessimistic Bilevel Programming Necessary Optimality Conditions in Pessimistic Bilevel Programming

This paper is devoted to the so-called pessimistic version of bilevel programming programs. Minimization problems of this type are challenging to handle partly because the corresponding value functions are often merely upper (while not lower) semicontinuous. Employing advanced tools of variational analysis and generalized differentiation, we provide rather general frameworks ensuring the Lipsch...

Optimality Conditions and Duality in Minmax Fractional Programming, Part I: Necessary and Sufficient Optimality Conditions

The purpose of this paper is to develop a fairly large number of sets of global parametric sufficient optimality conditions under various generalized (F, b, φ, ρ, θ)univexity assumptions for a continuous minmax fractional programming problem involving arbitrary norms.

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

Bianchini HIGH ORDER NECESSARY OPTIMALITY CONDITIONS

In this paper we present a method for determining some variations of a singular trajectory of an affine control system. These variations provide necessary optimality conditions which may distinguish between maximizing and minimizing problems. The generalized Legendre-Clebsch conditions are an example of these type of conditions.