Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Vladimir F. Demyanov"'
Autor:
Vladimir F. Demyanov, G. Sh. Tamasyan
Publikováno v:
Numerical Functional Analysis and Optimization. 35:932-961
In this article, we consider the moving boundary variational problem in a parametric form. By means of the tools of the nonsmooth analysis and exact penalty functions, a new form of necessary conditions for an extremum is obtained. The new conditions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cf868a90187a09c197c2d1dc91a20ae
https://doi.org/10.1080/01630563.2014.922097
https://doi.org/10.1080/01630563.2014.922097
Publikováno v:
Optimization. 62:1003-1006
We are presenting in this special issue selected, peer-reviewed, papers that were presented at the 1st International Symposium and 10th Balkan Conference on Operational Research (BALCOR 2011), which was held during September 22-24, 2011, in Thessalon
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https://explore.openaire.eu/search/publication?articleId=doi_________::bc38489084dd4b99f43835ea90f006dd
https://doi.org/10.1080/02331934.2013.817072
https://doi.org/10.1080/02331934.2013.817072
Autor:
Vladimir F. Demyanov, Majid E. Abbasov
Publikováno v:
Journal of Optimization Theory and Applications. 156:535-553
In the classical (“smooth”) mathematical analysis, a differentiable function is studied by means of the derivative (gradient in the multidimensional space). In the case of nondifferentiable functions, the tools of nonsmooth analysis are to be emp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::506492ef5d769c50c0d66cf04132015d
https://doi.org/10.1007/s10957-012-0144-0
https://doi.org/10.1007/s10957-012-0144-0
Autor:
Vladimir F. Demyanov, Majid E. Abbasov
Publikováno v:
Journal of Global Optimization. 56:569-585
The notions of upper and lower exhausters represent generalizations of the notions of exhaustive families of upper convex and lower concave approximations (u.c.a., l.c.a.). The notions of u.c.a.'s and l.c.a.'s were introduced by Pshenichnyi (Convex A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3369a961fbc656b8ac48d58c350d48b
https://doi.org/10.1007/s10898-012-9873-8
https://doi.org/10.1007/s10898-012-9873-8
Autor:
Vladimir F. Demyanov, Julia A. Ryabova
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 31:1273-1292
Usually, positively homogeneous functions are studied by means of exhaustive families of upper and lower approximations and their duals - upper and lower exhausters. Upper exhausters are used to find minimizers while lower exhausters are employed to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4fc95e1df7920284e7b3105637be6d2
https://doi.org/10.3934/dcds.2011.31.1273
https://doi.org/10.3934/dcds.2011.31.1273
Autor:
G. Sh. Tamasyan, Vladimir F. Demyanov
Publikováno v:
Optimization. 60:153-177
It was earlier demonstrated, by the so-called main (or simplest) problem of the Calculus of Variations, that the Theory of Exact Penalties allows one not only to derive fundamental results of the Calculus of Variations but also to construct new direc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47a24be226a52b774a19704c56a0a883
https://doi.org/10.1080/02331934.2010.534166
https://doi.org/10.1080/02331934.2010.534166
Autor:
Majid E. Abbasov, Vladimir F. Demyanov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 269:6-15
The notions of upper and lower exhausters and coexhausters are discussed and necessary conditions for an unconstrained extremum of a nonsmooth function are derived. The necessary conditions for a minimum are formulated in terms of an upper exhauster
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f17308dc96e385680c5e05d6a6449b2d
https://doi.org/10.1134/s0081543810060027
https://doi.org/10.1134/s0081543810060027
Autor:
Vladimir F. Demyanov, V. V. Demyanova
Publikováno v:
Journal of Global Optimization. 48:29-40
The problem of identifying points of two sets in $${\mathop{{\rm I}\mskip-2.0mu{\rm R}}^{n}}$$ is considered. This problem is of interest by itself and has numerous practical applications. One of such applications--namely, to the ranking of parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8247e5ded43d255e590bd3595ab5887
https://doi.org/10.1007/s10898-009-9509-9
https://doi.org/10.1007/s10898-009-9509-9
Autor:
Vera Roshchina, Vladimir F. Demyanov
Publikováno v:
Optimization. 57:41-56
Non-smooth analysis manifested itself in the 1960s of the last century and is still gaining momentum developing new tools and harnesses and covering new areas of application. One of the notions of non-smooth analysis is that of the exhauster. The exh
Externí odkaz:
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https://doi.org/10.1080/02331930701778825
https://doi.org/10.1080/02331930701778825
This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized t
