Preliminaries -- C Representing Functionals -- Application in Nonlinear Optimization -- Application in Vector … Optimization -- Application in Set Optimization -- Basics of Deep Learning -- Deep Learning with Set-Valued Inputs. …

-- Minimizers of Translation Invariant Functions -- Vector Optimization in General Spaces -- Multiobjective Optimization … -- Variational Analysis -- Special Cases and Functionals Related to φA,k -- Set-Valued Optimization Problems -- Vector Optimization …-valued functions. The scope of applications is illustrated by chapters related to vector optimization, set-valued optimization, and …

-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the … formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on …, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization …

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special … attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of … the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization …

This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization …

functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi …-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the … very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector …

The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence … and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger … improve practically relevant algorithms for linear vector optimization problems …