Vector Optimization: Theory, Applications, and Extensions
作者： Johannes Jahn
DOI:
关键词: Mathematical optimization 、 Subderivative 、 Numerical analysis 、 Vector optimization 、 Applied mathematics 、 Mathematics 、 Multi-objective optimization 、 Lagrange multiplier 、 Differential (infinitesimal) 、 Duality (optimization) 、 Convex analysis
摘要: Convex Analysis: Linear Spaces.- Maps on Some Fundamental Theorems.- Theory of Vector Optimization: Optimality Notions.- Scalarization.- Existence Generalized Lagrange Multiplier Rule.- Duality.- Mathematical Applications: Approximation.- Cooperative n Player Differential Games.- Engineering Theoretical Basics Multiobjective Optimization.- Numerical Methods.- Design Problems.- Extensions to Set Basic Concepts and Results Contingent Epiderivatives.- Subdifferential.- Conditions.
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