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Essentiality for Mönch type maps
Author(s):
Ravi
P.
Agarwal;
Donal
O'Regan
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1015-1020.
MSC (2000):
Primary 47H10
Posted:
October 11, 2000
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Abstract:
A new fixed point theorem for Mönch maps on locally convex spaces is given. In addition, a continuation theorem for Mönch maps is presented.
References:
- [1]
- R.P. Agarwal and D. O'Regan, Nonlinear essential maps of Mönch, 1-set contractive demicompact and monotone
type, Journal of Applied Mathematics and Stochastic Analysis, to appear. - [2]
- C. Corduneanu, Integral equations and applications, Cambridge Univ. Press, Cambridge, 1991. MR 92h:45001
- [3]
- R. Engelking, General topology, Heldermann Verlag, Berlin, 1989. MR 91c:54001
- [4]
- A. Granas, Sur la méthode de continuité de Poincare, C.R. Acad. Sci. Paris, 282(1976), 983-985. MR 53:11664
- [5]
- D. Guo, V. Lakshmikantham and X. Liu, Nonlinear integral equations in abstract spaces, Kluwer Acad. Publishers, Dordrecht, 1996. MR 98a:45001
- [6]
- G. Köthe, Topological vector spaces, Springer Verlag, New York, 1983.
- [7]
- H. Mönch, Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonlinear Analysis, 4(1980), 985-999. MR 82c:34075
- [8]
- D. O'Regan, Fixed points and random fixed points for weakly inward approximable maps, Proc. Amer. Math. Soc., 126(1998), 3045-3053. MR 99a:47084
- [9]
- R. Precup, Generalized topological transversality and existence theorems, Libertas Mathematica, 11(1991), 65-79. MR 93a:54037
- [10]
- W. Rudin, Functional analysis, McGraw Hill, New York, 1973. MR 51:1315
- [11]
- F. Treves, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967. MR 37:726
- [12]
- E. Zeidler, Nonlinear functional analysis and its applications, I, Springer Verlag, New York, 1986. MR 87f:47083
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Additional Information:
Ravi
P.
Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
Donal
O'Regan
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
Email:
Donal.ORegan@nuigalway.ie
DOI:
10.1090/S0002-9939-00-05793-2
PII:
S 0002-9939(00)05793-2
Received by editor(s):
June 15, 1999
Posted:
October 11, 2000
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2000,
American Mathematical Society
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