Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Ryszard Urbański"'
Autor:
Jerzy Grzybowski, Ryszard Urbański
Publikováno v:
SIAM Journal on Optimization. 32:1049-1068
Robinson introduced a quotient space of pairs of convex sets which share their recession cone. In this paper minimal pairs of unbounded convex sets, i.e. minimal representations of elements of Robinson's spaces are investigated. The fact that a minim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4baed81b98e35ca6b26e0d823559921
https://doi.org/10.1137/21m1410695
https://doi.org/10.1137/21m1410695
Autor:
Ryszard Urbański, Jerzy Grzybowski
Publikováno v:
Journal of Global Optimization. 77:289-300
In this paper we prove necessary and sufficient criteria for a cancellation of a bounded convex set in the inclusion of Minkowski sums of sets. We also prove an order cancellation law in semigroups of not closed, bounded and convex sets.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68b8de26529eadb81d6b3a7077f896b2
https://doi.org/10.1007/s10898-019-00865-z
https://doi.org/10.1007/s10898-019-00865-z
Publikováno v:
Optimization. 68:2055-2070
Having a function being a difference of sublinear functions defined on a plane, we present a formula for effective calculation of sublinear functions such that their difference is equal to ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59a7f3ea7c7d6df77db82d2b3bda853d
https://doi.org/10.1080/02331934.2018.1491572
https://doi.org/10.1080/02331934.2018.1491572
Publikováno v:
Optimization. 67:507-522
In this paper, we study properties of a special class of ordered median functions, called block-functions. These are ordered median functions which belong to a generating binary (row)-vector of the form called a block vector. The aim of this paper is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51924efe7dd5097ca0cfb765128f7086
https://doi.org/10.1080/02331934.2018.1429432
https://doi.org/10.1080/02331934.2018.1429432
Publikováno v:
Optimization. 67:1005-1015
The paper examines different kinds of p-convexity of a function g which are sufficient for the existence of a linear functional such that in Theorem 1.13 of Simons in his monograph ‘From Hahn–Banach to monotonicity’, published in Springer lectu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::218c1b43c6dbd5b3bc643bdce07a7cc5
https://doi.org/10.1080/02331934.2017.1295044
https://doi.org/10.1080/02331934.2017.1295044
Publikováno v:
Journal of Optimization Theory and Applications. 171:354-364
We prove that in finite dimensional spaces every ordered median function is the Minkowski dual of a reduced pair of polytopes. This implies a very general theorem on the representation of an ordered median function as a uniquely determined difference
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19abdb63736aaef1516cbe65298a0b2a
https://doi.org/10.1007/s10957-015-0860-3
https://doi.org/10.1007/s10957-015-0860-3
Publikováno v:
Optimization. 64:149-160
An ordered median functions is a continuous piecewise-linear function. It is well known that in finite dimensional spaces every continuous piecewise-linear function admits a max-min representation in terms of its linear functions. An explicit represe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96f92ceeb5aa6cfacbe27198b440d89e
https://doi.org/10.1080/02331934.2014.883512
https://doi.org/10.1080/02331934.2014.883512
Publikováno v:
Banach Center Publications. 102:99-104
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c56563c725b7da54a6ba27bf3c0e24dd
https://doi.org/10.4064/bc102-0-6
https://doi.org/10.4064/bc102-0-6
Publikováno v:
Set-Valued and Variational Analysis. 21:201-216
Any abstract convex cone S with a uniformity satisfying the law of cancellation can be embedded in a topological vector space \(\widetilde{S}\) (Urbanski, Bull Acad Pol Sci, Ser Sci Math Astron Phys 24:709–715, 1976). We introduce a notion of a con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b4a306938b298be718a72009e2c0447
https://doi.org/10.1007/s11228-013-0231-x
https://doi.org/10.1007/s11228-013-0231-x
Publikováno v:
Optimization. 64:339-348
An ordered median function is a continuous piecewise linear function. It is well known, that in finite dimensional spaces every continuous piecewise linear function admits a max–min representation in terms of its linear functions. We give an explic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4acf3bde956b6fdc32ca7c654beb64f
https://doi.org/10.1080/02331934.2012.750322
https://doi.org/10.1080/02331934.2012.750322