This book serves as an introductory text to optimization theory in normedspaces. Topics of this book are existence results various differentiabilitynotions toge... » 

This book serves as an introductory text to optimization theory in normedspaces. Topics of this book are existence results various differentiabilitynotions together with optimality conditions the contingent cone ageneralization of the Lagrange multiplier rule duality theory extendedsemidefinite optimization and the investigation of linear quadratic and timeminimal control problems. This textbook presents fundamentals with particularemphasis on the application to problems in the calculus of variationsapproximation and optimal control theory. The reader is expected to have abasic knowledge of linear functional analysis. TOCIntroduction and ProblemFormulation. Existence Theorems for Minimal Points. Generalized Derivatives.Tangent Cones. Generalized Lagrange Multiplier Rule. Duality. Application toExtended Semidefinite Optimization. Direct Treatment of Special OptimizationProblems. Weak Convergence. Reflexivity of Banach Spaces. HahnBanachTheorem. Partially Ordered Linear Spaces. «