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Jerzy Grzybowski - publikacje

Artykuły

On minimal representations by a family of sublinear functions, "Journal of Global Optimization" (przyjęta do druku, wspólna z M. Küçük, Y. Küçük i R. Urbańskim).

Demyanov difference in infinite dimensional spaces, "Springer Optimization and Its Applications: Constructive Nonsmooth Analysis and Related Topics", 87 (przyjęta do druku, wspólna z D. Pallaschke i R. Urbańskim).

Minkowski-Rådström-Hörmander cone, "Pacific Journal of Optimization" (przyjęta do druku, wspólna z M. Küçük, Y. Küçük i R. Urbańskim).

Separation of Finitely Many Convex Sets and Data Pre-Classification, "Springer Optimization in Science and Engineering" (przyjęta do druku, wspólna z M. Gaudioso, D. Pallaschke i R. Urbańskim).

On Simons’ version of Hahn-Banach-Lagrange theorem, "Commentationes Mathematicae" (przyjęta do druku, wspólna z H. Przybycieniem i R. Urbańskim)

Completeness in Minkowski-Radstrom-Hormander spaces, "Optimization", (2013) DOI: 10.1080/02331934.2013.793330 (wspólna z H. Przybycieniem).

Decomposition of Minkowski-Rådström-Hörmander space to the direct sum of symmetric and asymmetric subspaces, "Set-Valued and Variational Analysis" 21 (2) (2013), 201–216 (wspólna z H. Przybycieniem i R. Urbańskim).

Algebraic separation and shadowing of arbitrary sets, "Commentationes Mathematicae", 53 (2) (2013), 155-164 (wspólna z D. Pallaschke i R. Urbańskim).

On max-min Representations of Ordered Median Functions, "Optimization", (2013) DOI: 10.1080/02331934.2012.750322 (wspólna z J. Kalcsicsem, S. Nickelem, D. Pallaschke i R. Urbańskim).

Unique metric segments in the hyperspace over a strictly convex Minkowski space, "Beiträge zur algebra und geometrie", 54 (1) (2013), 453-467 (wspólna z A. Bogdewicz).

The completion of the space of convex, bounded sets with respect to the Demyanov metric, "Demonstratio Mathematica", 46 (1) (2013), 191–196 (wspólna z A. Leśniewskim i T. Rzezuchowskim).

Commutative semigroups with cancellation law: a representation theorem, "Semigroup Forum" 83 (3) (2011), 447-456 (with D. Pallaschke, H. Przybycień and R. Urbański).

Ordered median functions and symmetries, "Optimization", 60 (7) (2011), 801-811 (with S. Nickel, D. Pallaschke and R. Urbański).

Continuous piecewise linear functions on the octants of R^n, "Optimization", 60 (1-2) (2011), 101-112 (with D. Pallaschke and R. Urbański)

A note on the dual of the Minkowski-Radstrom-Hormander lattices (with D. Pallaschke and R. Urbański), "Pacific J. Optim." 6 (2) (2010), 255-262.

The intersection property in the family of compact convex sets (with D. Borowska), "J. Convex Anal." 17 (1) (2010), 173-181.

On the amount of minimal pairs of convex sets (with D. Pallaschke and R. Urbański), "Optim. Meth. Soft." 25 (1) (2010), 89-96.

Reduction of finite exhausters (with D. Pallaschke and R. Urbański), "J. Glob. Optim." 46 (2010), 589-601.

Crystal growth in terms of Minkowski-Radstrom-Hormander space (with R. Urbański), "Bull. Soc. Sci. Lettr. Łódź" 59 (1) (2009), 91-101.

Pairs of convex bodies in a hyperspace over a Minkowski two-dimensional space joined by a unique metric segment (with A. Bogdewicz), "Convex and Fractal Geometry", Banach Center Publications, 84 (1) (2009), 75-88.

Minimal pairs of bounded closed sets as minimal representations of elements of the Minkowski-Radstrom-Hormander spaces (with D. Pallaschke and R. Urbański), "Convex and Fractal Geometry", Banach Center Publications, 84 (1) (2009), 31-55.

On reduction of pairs of bounded closed convex sets, (with D. Pallaschke and R. Urbański) "Studia Math." 189 (1) (2008), 1-12.

Extreme points of lattice intervals in the Minkowski-Radstrom-Hormander lattice, (with R. Urbański) "Proc. Amer. Math. Soc." 136 (11) (2008), 3957-3962.

Strongly monotypic polytopes in $$ \mathbb R^3 $$ (with D. Borowska), "Demonstratio Math." 41 (2008), no. 1, 165-169.

Decomposition of the polyhedron from Albrecht Dürer's Melencolia I to a minimal pair of compact convex sets, "Optimization", 57 (2), 2008, 337-344, (with D. Pallaschke and R. Urbański).

Generalized directional derivatives for locally Lipschitz functions witch satisfy Leibniz rule,
"Control and Cybernetics", 36 (4), 2007, 911-924, (with D. Pallaschke and R. Urbański).

Minkowski difference and Sallee elements in an ordered semigroup (with D. Borowska), "Comment. Math." 47 (2007), no. 1, 77-83.

Three criteria minimality for pairs of compact convex sets, "Optimization ", 55 (5-6), (2006), 569-576, (with R. Urbański).

On inclusion and summands of bounded closed convex sets, "Acta Math. Hungar.", 106 (4). 2005, 293-300, (with R. Urbański).

Minimal quasidifferential of a piecewise linear function in $$ \mathbb R^3 $$, "Z. Anal. Anwendungen", 24 (2005), no. 1, 189-202.

Data pre-classification and the separation law for closed bounded sets, "Optimization Methods and Software", 20, (2-3), 2005, 213-223, (with D. Pallaschke and R. Urbański).

On the Representation Property of Kernels Quasidifferentials, "Journal of Convex Analysis", 11 (2), 2004, 387-390, (with R. Urbański).

A geometric representation of the Morse fan, "Journal of Global Optimization", 30, 2004, 319-333, (with D. Pallaschke and R. Urbański).

Affine straight lines in family of bounded closed convex sets , "Rendiconti del Circolo Mathematico di Palermo", 53 (2), 2004, 225-230, (with R. Urbański).

On reduced pairs of bounded closed convex sets,
"Revista Mathemática Complutence", 16 (2), 2003, 59-63, (with R. Urbański).

On the number of minimal pairs of compact convex sets that are not translates of one another, "Studia Math.", 158 (1), 2003, 59-63, (with R. Urbański).

On summands of closed bounded convex sets, "Zeitschrift für Analysis und ihre Anwendungen", 21 (4), 2002, 845-850, (with H. Przybycień and R. Urbański).

General Methods of Constructing Equivalent Minimal Pairs not Unique up to Translation, "Revista Mathemática Complutence", 13 (2), 2000, 383-398, (with S. Kaczmarek and R. Urbański).

Minimal pairs representing selections of four linear functions in $$ \mathbb R^3 $$, "Journal of Convex Analysis", 7 (2), 2000, 445-452, (with D. Pallaschke and R. Urbański).

On pairs of closed bounded convex sets which lay in complementary subspaces, "Function Spaces the Fifth Conference, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York, Series", 213, 2000, 165-171, (with R. Urbański).

On Common Summands and Anti-summands of Compact Convex Sets, "Bull. Polish. Acad. Sci. Math.", 47 (1), 1999, 367-377, (with R. Urbański and W. Wiernowolski).

On Convex Class of Pairs of Convex Bodies, "Proc. Amer. Math. Soc.", 125 (11), 1997, 3397-3403, (with R. Urbański).

Minimal Pairs of Bounded Closed Convex Sets, "Studia Math.", 126 (1), 1997, 95-99, (with R. Urbański).

A note on summands of compact convex sets, "Mathematika" 43 (1996), no. 2, 286-294.

Minimal pairs of convex compact sets, "Arch. Math. (Basel)" 63 (2) (1994), 173-181.

A note on (s,t)-convex modulars, "Comment. Math." 30 (2) (1991), 309-315.

On (s,t)-convex modulars over a field with valuation, "Comment. Math." 29 (1990), no. 2, 183-193.

On F-quasinorms in vector spaces over a locally compact field with valuation, "Bull. Polish Acad. Sci. Math." 36 (1988), no. 5-6, 268-272.

Analytic continuation from compact set, "Univ. Iagel. Acta Math." 27 (1988), 259-269.