Pseudolinear functions and optimization (Q6486625)

This book is dedicated to a specific class of generalized convex functions that are called pseudolinear functions. This is a study of the mathematics of pseudolinear functions and their applications.\newline The main subjects considered in the book are the following.\newline Basic properties and characterization results on pseudolinear functions.\newline Characterizations of soluction sets of pseudolinear optimization problems, linear fractional optimization problems, directionally differentiable pseudolinear optimization problems, \(h\)-pseudolinear optimization problems and locally Lipschitz optimization problems.\newline Multiobjective pseudolinear optimization problems and multiobjective fractional pseudolinear optimization problems. Optimality conditions and duality results for these two problems.\newline Static minimax pseudolinear optimization problems and static minimax fractional pseudolinear optimization problems. Optimality conditions and duality results for these two problems.\newline Optimality and duality results for semi-infinite pseudolinear optimization problems.\newline Relationships between vector variational inequalities and vector optimization problems involving pseudolinear functions.\newline Results on \(\eta \)-pseudolinear functions and characterizations of solution sets of \(\eta \)-pseudolinear optimization problems.\newline Pseudolinear functions on Riemannian manifolds. Characterizations of solution sets of pseudolinear optimization problems on Riemannian manifolds.\newline Results on pseudolinearity of quadratic fractional functions.\newline Some applications of pseudolinear optimization problems to hospital management and economics.