title: Constrained optimality conditions in terms of proper and adjoint coexhausters
metadata.name: dc.contributor.author
metadata.value: Abbasov, Majid E.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-07-17T10:22:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-07-17T10:22:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Abbasov M. E. Constrained optimality conditions in terms of proper and adjoint coexhausters. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 2, pp. 160–172.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15950
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Coexhasuters are families of convex compact sets allowing one to represent the approximation of the increment of the studied function in the neighborhood of a considered point in the form of MaxMin or MinMax of affine functions. Researchers developed a calculus of these objects, which makes it possible to build thesefamilies for a wide class of nonsmooth functions. They also described unconstrained optimality conditions in terms of coexhausters, which paved the way for the construction of new optimization algorithms. In this paper we derive constrained optimality conditions in terms of coexhausters.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Science Foundation (project N 18-71-00006).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonsmooth analysis
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nondifferentiable optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: coexhausters
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimality conditions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Constrained optimality conditions in terms of proper and adjoint coexhausters
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 160-172.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15950/1/160-172.pdf
resources.format: Adobe PDF
resources.size: 332,78 kB