On Lagrange Multiplier Theorems for Non-smooth Optimization for a Large Class of Variational Models in Banach Spaces
Copyright policy )On Lagrange Multiplier Theorems for Non-smooth Optimization for a Large Class of Variational Models in Banach Spaces
This article develops optimality conditions for a large class of non-smooth variational models. The main results are based on standard tools of functional analysis and calculus of variations. Firstly we address a model with equality constraints and, in a second step, a more general model with equality and inequality constraints, always in a general Banach space context. We highlight some novelties are introduced related to the proof procedures developed in this text, which are in general softer than those concerning the present literature.
Optimization, Artificial intelligence, Multi-material Optimization, Class (philosophy), Economics, Macroeconomics, Lagrange multiplier, Space (punctuation), Engineering, Context (archaeology), Nonexpansive Mappings, FOS: Mathematics, Biology, Civil and Structural Engineering, Non-linear Elastic Structures, Variational inequality, Algebra over a field, Banach space, FOS: Clinical medicine, Mathematical optimization, 49K27, Topology Optimization in Structural Engineering, Pure mathematics, Paleontology, Iterative Algorithms for Nonlinear Operators and Optimization, Computational Contact Mechanics and Variational Inequalities, Applied mathematics, Computer science, Functional Analysis (math.FA), Mathematics - Functional Analysis, Operating system, Computational Theory and Mathematics, Nonlinear Dynamics, Eberlein–Šmulian theorem, Dentistry, Computer Science, Physical Sciences, Medicine, Multiplier (economics), Lp space, Variational analysis, Calculus (dental), Mathematics
Optimization, Artificial intelligence, Multi-material Optimization, Class (philosophy), Economics, Macroeconomics, Lagrange multiplier, Space (punctuation), Engineering, Context (archaeology), Nonexpansive Mappings, FOS: Mathematics, Biology, Civil and Structural Engineering, Non-linear Elastic Structures, Variational inequality, Algebra over a field, Banach space, FOS: Clinical medicine, Mathematical optimization, 49K27, Topology Optimization in Structural Engineering, Pure mathematics, Paleontology, Iterative Algorithms for Nonlinear Operators and Optimization, Computational Contact Mechanics and Variational Inequalities, Applied mathematics, Computer science, Functional Analysis (math.FA), Mathematics - Functional Analysis, Operating system, Computational Theory and Mathematics, Nonlinear Dynamics, Eberlein–Šmulian theorem, Dentistry, Computer Science, Physical Sciences, Medicine, Multiplier (economics), Lp space, Variational analysis, Calculus (dental), Mathematics
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