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Optimization and nonsmooth analysis
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The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
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Lipschitzian stability in nonlinear control and optimization
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Second-Order Subdifferential Calculus With Applications to Tilt Stability in Optimization
TL;DR: In this paper, the second-order generalized differentiation theory of variational analysis is applied to some problems of constrained optimization in finite-dimensional spaces, such as nonlinear programming and extended nonlinear programs described in composite terms.
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A family of variable metric proximal methods
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Constraint qualifications in multiobjective optimization problems: differentiable case
TL;DR: In this paper, a multiobjective optimization problem with inequality constraints is considered, and a constraint qualification is introduced and the Kuhn-Tucker type necessary conditions for efficiency are derived.