Constrained nonsmooth problems of the calculus of variations
نویسندگان
چکیده
The paper is devoted to an analysis of optimality conditions for nonsmooth multidimensional problems the calculus variations with various types constraints, such as additional constraints at boundary and isoperimetric constraints. To derive conditions, we study generalised concepts differentiability functions called codifferentiability quasidifferentiability. Under some natural easily verifiable assumptions prove that a integral functional defined on Sobolev space continuously codifferentiable compute its codifferential quasidifferential. Then apply general optimisation in Banach spaces obtain variations. Through series simple examples demonstrate our are sometimes better than existing ones terms subdifferentials, sense can detect non-optimality given point, when subdifferential-based fail disqualify this point non-optimal.
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Firefly Algorithm (FA) is a stochastic population-based algorithm based on the flashing patterns and behavior of fireflies. Original FA was created and successfully applied to solve bound constrained optimization problems. In this paper we present extensions of FA for solving nonsmooth nonconvex constrained global optimization problems. To handle the constraints of the problem, feasibility and ...
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2021
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2021074