Many books on optimization consider only finite dimensional spaces. This
volume is unique in its emphasis: the first three chapters develop
optimization in spaces without linear structure, and the analog of
convex analysis is constructed for this case. Many new results have been
proved specially for this publication. In the following chapters
optimization in infinite topological and normed vector spaces is
considered. The novelty consists in using the drop property for weak
well-posedness of linear problems in Banach spaces and in a unified
approach (by means of the Dolecki approximation) to necessary conditions
of optimality. The method of reduction of constraints for sufficient
conditions of optimality is presented. The book contains an introduction
to non-differentiable and vector optimization.
Audience: This volume will be of interest to mathematicians,
engineers, and economists working in mathematical optimization.