Bruno Brosowski

On Parametric Linear Optimization

Consider the following parametric linear optimization problem: (PLO): Minimize n n

Simple tests for multi-criteria optimality

p(x): = sumlimits_{v = 1}^n {p_v x_v }

Stability of best rational Chebyshev approximation

n nsubject to n n

The Completion of Partially Ordered Vector Spaces and Korovkin's Theorem

sumlimits_{v = 1}^n {a_{mu v} (t)x_v leqq b_mu (t)} ,mu = 1,2,....,m

An Optimality Condition and its Application to Parametric Semi-Infinite Optimization

n nwhere p1p2,…,pn are given constants and aμe (t), bμ (t) are given real valued functions depending continuously on the parameter t in T, T a metric space. Then for each t ∈ T we consider the set of feasible points n n