|
Fixed points and random fixed points for weakly inward approximable maps
Author(s):
Donal
O'Regan
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3045-3053.
MSC (1991):
Primary 47H04, 47H10, 47H40, 54C60, 54H25
MathSciNet review:
1469430
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this paper we obtain new fixed point and random fixed point theory for approximable maps.
References:
- 1.
- J. Banas and K. Goebel, Measures of noncompactness in Banach spaces, Marcel Dekker, New York, 1980. MR 82f:47066
- 2.
- H. Ben-El-Mechaiekh and P.Deguire, Approachability and fixed points for non-convex set-valued maps, Jour. Math. Anal. Appl., 170(1992), 477-500. MR 94a:54103
- 3.
- H. Ben-El-Mechaiekh and A.Idzik, A Leray-Schauder type theorem for approximable maps, Proc. Amer. Math. Soc., 122(1994), 105-109. MR 94k:54074
- 4.
- A. Cellina, A theorem on the approximation of compact multivalued mappings, Atti. Accad. Naz. Lincei Rend., 47(1969), 429-433. MR 43:2676
- 5.
- K. Deimling, Multivalued differential equations, Walter de Gruyter, Berlin, 1992. MR 94b:34026
- 6.
- P. M. Fitzpatrick and W. V. Petryshyn, Fixed point theorems for multivalued noncompact acyclic mappings, Pacific Jour. Math., 54(1974), 17-23. MR 53:8973
- 7.
- L. Gorniewicz, A. Granas and W. Kryszewski, Sur la méthode de l'homotopie dans la théorie des points fixes pour les applications multivoques (partie 1: Transversalité topologique), C. R. Acad. Sci. Paris, Ser. 1, 307(1988), 489-492. MR 90g:55002
- 8.
- M. Lassonde, On the use of KKM multifunctions in fixed point theory and related topics, Jour. Math. Anal. Appl., 97(1983), 151-201. MR 84k:47049
- 9.
- D. O'Regan, Some fixed point theorems for concentrative mappings between locally convex linear topological spaces, Nonlinear Analysis, 27(1996), 1437-1446. MR 97i:47121
- 10.
- D. O'Regan, A topological approach to integral inclusions, Proc. Royal Irish Acad., 97A (1997), 101-111.
- 11.
- D. O'Regan, A continuation theory for weakly inward mappings, Glasgow Math. Journal, to appear.
- 12.
- S. Park, Fixed point for approximable maps, Proc. Amer. Math. Soc., 124(1996), 3109-3114. MR 96m:47108
- 13.
- S. Reich, A fixed point theorem in Fréchet spaces, Jour. Math. Anal. Appl., 78(1980), 33-35. MR 82h:47055
- 14.
- K. K. Tan and X. Z. Yuan, Random fixed point theorems and approximation in cones, Jour. Math. Anal. Appl., 185(1994), 378-390. MR 95d:47085
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
47H04, 47H10, 47H40, 54C60, 54H25
Retrieve articles in all Journals with
MSC (1991):
47H04, 47H10, 47H40, 54C60, 54H25
Additional Information:
Donal
O'Regan
Affiliation:
Department of Mathematics, University College Galway, Galway, Ireland
Email:
donal.oregan@ucg.ie
DOI:
10.1090/S0002-9939-98-04601-2
PII:
S 0002-9939(98)04601-2
Received by editor(s):
December 26, 1996
Received by editor(s) in revised form:
March 17, 1997
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
|