Generalized quasivariational inequalities on Fréchet spaces

Donal O'Regan

Archivum Mathematicum (1999)

  • Volume: 035, Issue: 3, page 245-254
  • ISSN: 0044-8753

Abstract

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In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].

How to cite

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O'Regan, Donal. "Generalized quasivariational inequalities on Fréchet spaces." Archivum Mathematicum 035.3 (1999): 245-254. <http://eudml.org/doc/248356>.

@article{ORegan1999,
abstract = {In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].},
author = {O'Regan, Donal},
journal = {Archivum Mathematicum},
keywords = {variational inequalities; fixed points; variational inequalities; fixed points},
language = {eng},
number = {3},
pages = {245-254},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Generalized quasivariational inequalities on Fréchet spaces},
url = {http://eudml.org/doc/248356},
volume = {035},
year = {1999},
}

TY - JOUR
AU - O'Regan, Donal
TI - Generalized quasivariational inequalities on Fréchet spaces
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 3
SP - 245
EP - 254
AB - In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].
LA - eng
KW - variational inequalities; fixed points; variational inequalities; fixed points
UR - http://eudml.org/doc/248356
ER -

References

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  1. Agarwal R. P., O’Regan D., Fixed points in Fréchet spaces and variational inequalities, Nonlinear Analysis, to appear. 
  2. Aliprantis C. D., Border K. C., Infinite dimensional analysis, Springer Verlag, Berlin, 1994. (1994) Zbl0839.46001MR1321140
  3. Dien N. H., Some remarks on variational like and quasivariational like inequalities, Bull. Austral. Math. Soc. 46 (1992), 335–342. (1992) Zbl0773.90071MR1183788
  4. 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
  5. O’Regan D., Generalized multivalued quasivariational inequalities, Advances Nonlinear Variational Inequalities, 1 (1998), 1–9. (1998) MR1489854
  6. O’Regan D., Fixed point theory for closed multifunctions, Archivum Mathematicum (Brno) 34 (1998), 191–197. (1998) Zbl0914.47054MR1629701
  7. O’Regan D., A multiplicity fixed point theorem in Fréchet spaces, to appear. Zbl0970.47044
  8. Park S., Fixed points of approximable maps, Proc. Amer. Math. Soc. 124 (1996), 3109–3114. (1996) Zbl0860.47042MR1343717
  9. Park S., Chen M. P., Generalized quasivariational inequalities, Far East J. Math. Sci. 3 (1995), 199–204. (1995) Zbl0942.47053MR1385120
  10. Su C. H., Sehgal V. M., Some fixed point theorems for condensing multifunctions in locally convex spaces, Proc. Amer. Math. Soc. 50 (1975), 150–154. (1975) Zbl0326.47056MR0380530
  11. Tan K. K., Comparison theorems on minimax inequalities, variational inequalities and fixed point theorems, Jour. London Maths. Soc. 28 (1983), 555–562. (1983) Zbl0497.49010MR0724726
  12. Yuan X. Z., The study of minimax inequalities and applications to economics and variational inequalities, Memoirs of Amer. Maths. Soc. Vol. 625, 1998. (1998) 

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