Topological essentiality for multivalued weighted mappings

Robert Skiba

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 131-145
  • ISSN: 0231-9721

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Skiba, Robert. "Topological essentiality for multivalued weighted mappings." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 131-145. <http://eudml.org/doc/23725>.

@article{Skiba2002,
author = {Skiba, Robert},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {topological essentiality; coincidence point; fixed point; multivalued mappings; weighted mappings},
language = {eng},
number = {1},
pages = {131-145},
publisher = {Palacký University Olomouc},
title = {Topological essentiality for multivalued weighted mappings},
url = {http://eudml.org/doc/23725},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Skiba, Robert
TI - Topological essentiality for multivalued weighted mappings
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 131
EP - 145
LA - eng
KW - topological essentiality; coincidence point; fixed point; multivalued mappings; weighted mappings
UR - http://eudml.org/doc/23725
ER -

References

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  1. Conti G., Pejsachowicz J., Fixed point theorem for multivalued weighted maps, Ann. Mat. Pura Appl. 126, 4 (1980), 319-342. (1980) MR0612366
  2. Darbo G., Teoria dell’omologia in una categoria di maps plurivalenti ponderate, Rend. Sem. Mat. della Univ. di Padova 28 (1958), 188-224. (1958) MR0105093
  3. Darbo G., Sulle coincidenze di mappe ponderate, Rend. Sem. Mat. Univ. di Padova 29 (1959), 256-270. (1959) Zbl0089.39001MR0126284
  4. Darbo G., Estensione alle mappe del teorema Lefshetz sui punti fissi, Rend. Sem. Mat. Univ. Padova 31 (1.961), 46-57. MR0137119
  5. Dugundji J., Granas G., Fixed Point Theory, Monograf. Mat. 61, PWN, Warszawa, 1982. (1982) Zbl0483.47038
  6. Górniewicz L., Ślosarski M., Topological essentiality and differential inclusions, Bull. Austral. Math. Soc. 45 (1992), 177-193. (1992) Zbl0755.34013MR1155476
  7. Górniewicz L., Topological Fixed Point Theory of Multivalued Mappings, Kluwer Acad. Pub., Vol. 495, 1999. (1999) MR1748378
  8. Granas A., The theory of compact vector field and some of its applications, Dissertationes Math. (Warszawa) 30 (1962). (1962) MR0149253
  9. Jerrard R., Homology with multivalued functions applied to fixed points, Trans. AMS 213 (1975), 407-428. (1975) MR0380778
  10. Jodko-Narkiewicz S., Topological degree of multivalued weighted mappings, UMK Toruń 1989 (Thesis in Polish). (1989) 
  11. Miklaszewski D., Fixed points of symmetric product mappings, UMK Toruń 1991 (Thesis in Polish). (1991) 
  12. Pejsachowicz J., Relation between the homotopy and the homology theory of weighted mappings, Bolletino U.M.I. 15-B (1978), 285-302. (1978) Zbl0391.55009MR0515493
  13. Pejsachowicz J., The homotopy theory of weighted mappings, Bolletino U.M.I. 14-B (1977), 702-720. (1977) Zbl0452.55006MR0500939
  14. Skiba R., On the Lefschetz fixed point theorem for multivalued weighted mappings, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 40 (2001), 201-214. Zbl1058.47048MR1904696
  15. Ślosarski M., Certain applications of topological essentiality and charakterization of the set of fixed points to differential inclusions, UMK Toruń 1993 (Thesis in Polish). (1993) 

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