On monotone minimal cuscos

Karel Pastor; Dušan Bednařík

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)

  • Volume: 40, Issue: 1, page 185-194
  • ISSN: 0231-9721

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Pastor, Karel, and Bednařík, Dušan. "On monotone minimal cuscos." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 40.1 (2001): 185-194. <http://eudml.org/doc/23709>.

@article{Pastor2001,
author = {Pastor, Karel, Bednařík, Dušan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Clarke's directional derivative; minimal cuscos; convexity; maximal monotone operators; minimal subdifferential; locally Lipschitz function; multifunction; selection},
language = {eng},
number = {1},
pages = {185-194},
publisher = {Palacký University Olomouc},
title = {On monotone minimal cuscos},
url = {http://eudml.org/doc/23709},
volume = {40},
year = {2001},
}

TY - JOUR
AU - Pastor, Karel
AU - Bednařík, Dušan
TI - On monotone minimal cuscos
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2001
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 185
EP - 194
LA - eng
KW - Clarke's directional derivative; minimal cuscos; convexity; maximal monotone operators; minimal subdifferential; locally Lipschitz function; multifunction; selection
UR - http://eudml.org/doc/23709
ER -

References

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  1. Aubin J. P., Cellina A., Differential inclusions, Springer Verlаg, Berlin, 1984. (1984) Zbl0538.34007MR0755330
  2. Borwein J. M., Minimаl cuscos аnd subgrаdients of Lipschitz functions, Fixed Point Theory and its Applications (J.-B. Baillon and M. Thera, eds.), Pitman Lecture Notes in Math, Longman, Essex 1991, 57-82. (1991) MR1122818
  3. Borwein J. M., Moors W. B., Essentiаlly strictly differentiаble Lipschitz functions, J. Funct. Anal. 149 (1997), 305-351. (1997) MR1472362
  4. Borwein J. M., Moors W. B., Shao Y., Subgrаdients Representаtion of Multifunctions, J. Austr. Math. Soc., Ser. B 40 (1998), 1-13. (1998) 
  5. Clarke F. H., Optimization and nonsmooth analysis, J. Wiley, New York, 1983. (1983) Zbl0582.49001MR0709590
  6. Drewnovski L., Labuda I., On minimаl upper semicontinuous compаct-vаlued mаps, Real Analysis Exchange 15 (1989-90), 729-742. (1989) MR1059434
  7. Јokl L., Convex Anаlysis, Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series. 
  8. Јokl L., Minimаl convex-vаlued weаk* usco correspondences аnd the Rаdon-Nikodym property, Comm. Math. Univ. Carolinae 28 (1987), 353-375. (1987) 
  9. Moors W. B., A chаrаcterizаtion of minimаl subdifferentiаl mаppings of locаlly Lipschitz functions, Set-valued Analysis 3 (1995), 129-141. (1995) MR1343479
  10. Phelps R. R., Convex functions, monotone operators and differentiability, Springer Verlаg, Berlin, 1993. (1993) Zbl0921.46039MR1238715
  11. Wang X., Fine аnd Topologicаl properties of subdifferentiаls, CECM Preprint 99:134, 1999. (1999) 

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