Limit behaviour of trajectories involving subgradients of convex functions

Jan Pelant; Svatopluk Poljak; Daniel Turzík

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 3, page 457-466
  • ISSN: 0010-2628

How to cite

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Pelant, Jan, Poljak, Svatopluk, and Turzík, Daniel. "Limit behaviour of trajectories involving subgradients of convex functions." Commentationes Mathematicae Universitatis Carolinae 028.3 (1987): 457-466. <http://eudml.org/doc/17562>.

@article{Pelant1987,
author = {Pelant, Jan, Poljak, Svatopluk, Turzík, Daniel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {convex function; subgradient; trajectory; cellular automata},
language = {eng},
number = {3},
pages = {457-466},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Limit behaviour of trajectories involving subgradients of convex functions},
url = {http://eudml.org/doc/17562},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Pelant, Jan
AU - Poljak, Svatopluk
AU - Turzík, Daniel
TI - Limit behaviour of trajectories involving subgradients of convex functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 3
SP - 457
EP - 466
LA - eng
KW - convex function; subgradient; trajectory; cellular automata
UR - http://eudml.org/doc/17562
ER -

References

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  5. T. KITAGAWA, Dynamical systems and operators associated with a single neuronic equation, Math. Biosci. 18 (1973). (1973) Zbl0272.92002MR0339835
  6. S. POLJAK D. TURZÍK, On systems, periods and semipositive mappings, Comment. Math. Univ. Carolinae 25 (1984), 597-614. (1984) MR0782011
  7. S. POLJAK D. TURZÍK, An application of convexity to discrete systrems, Discrete Appl. Math, 13 (1986), 27-32. (1986) MR0829336
  8. S. POLJAK M. SŮRA, On periodical behaviour in societies with symmetric influences, Combinatorica 3 (1983), 119-121. (1983) MR0716427
  9. F. S. ROBERTS, Discrete Mathematical Models with Application to Social, Biological and Environmental Problems, Prentice-Hall, Englewood Cliffs, N. 3. 1976. (1976) 
  10. R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton N. J., 1970. (1970) Zbl0193.18401MR0274683
  11. S. POLJAK D. TURZÍK, Social influence models with ranking alternatives and local election rules, Math. Soc. Sciences 10 (1985), 189-198. (1985) MR0806042
  12. J. PELANT S. POLJAK, Extensions of cyclically monotone mappings, to appear in Proc. of the Winter School 1985 in Rend. Circ. Mat. Palermo. (1985) MR0897974

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