Fixed point theory for closed multifunctions

Donal O'Regan

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 1, page 191-197
  • ISSN: 0044-8753

Abstract

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In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions.

How to cite

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O'Regan, Donal. "Fixed point theory for closed multifunctions." Archivum Mathematicum 034.1 (1998): 191-197. <http://eudml.org/doc/248185>.

@article{ORegan1998,
abstract = {In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions.},
author = {O'Regan, Donal},
journal = {Archivum Mathematicum},
keywords = {Fixed points; multivalued maps; fixed points; multivalued maps; approximate map; condensing multifunctions},
language = {eng},
number = {1},
pages = {191-197},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed point theory for closed multifunctions},
url = {http://eudml.org/doc/248185},
volume = {034},
year = {1998},
}

TY - JOUR
AU - O'Regan, Donal
TI - Fixed point theory for closed multifunctions
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 1
SP - 191
EP - 197
AB - In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions.
LA - eng
KW - Fixed points; multivalued maps; fixed points; multivalued maps; approximate map; condensing multifunctions
UR - http://eudml.org/doc/248185
ER -

References

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  2. Ben-El-Mechaiekh H., Deguire P., Approachability and fixed points for non-convex set valued maps, Jour. Math. Anal. Appl., 170 (1992), 477–500 (1992) Zbl0762.54033MR1188567
  3. Ben-El-Mechaiekh H., Idzik A., A Leray-Schauder type theorem for approximable maps, Proc. Amer. Math. Soc., 122 (1994), 105–109 (1994) Zbl0814.47063MR1212281
  4. Deimling K., Multivalued differential equations, Walter de Gruyter, Berlin, 1992 (1992) Zbl0820.34009MR1189795
  5. Fitzpatrick P. M., Petryshyn W. V., Fixed point theorems for multivalued noncompact acyclic mappings, Pacific Jour. Math., 54 (1974), 17–23 (1974) Zbl0312.47047MR0405179
  6. Furi M., Pera P., A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Ann. Polon. Math., 47 (1987), 331–346. (1987) Zbl0656.47052MR0927581
  7. O’Regan D., Some fixed point theorems for concentrative mappings between locally convex spaces, Nonlinear Analysis, 27 (1996), 1437–1446. (1996) MR1408881
  8. O’Regan D., Fixed points and random fixed points for weakly inward approximable maps, Proc. Amer. Math. Soc., (to appear) Zbl0918.47049MR1469430
  9. O’Regan D., Multivalued integral equations in finite and infinite dimensions, Comm. in Applied Analysis, (to appear) Zbl0903.45005MR1636992
  10. O’Regan D., Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces, Proc. Amer. Math. Soc., (to appear) Zbl0936.47035MR1610765
  11. O’Regan D., A general coincidence theory for set valued maps, (submitted) Zbl0938.47036
  12. Zeidler E., Nonlinear functional analysis and its applications, Vol 1, Springer Verlag, New York, 1986 (1986) MR0816732

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