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Abstrakty
New fixed point results are presented for maps defined on closed subsets of a Fr´echet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.
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Wydawca
Rocznik
Tom
Strony
169--179
Opis fizyczny
bibliogr. 10 poz.
Twórcy
autor
autor
- Department of Mathematics, Florida Institute of Technology Melbourne, Florida 32901, USA
Bibliografia
- [1] R. P. Agarwal, M. Frigon and D. O'Regan, A survey of recent fixed point theory in Fréchet spaces, Nonlinear Analysis and Applications: to V. Lakshmikantham on his 80th birthday, Kluwer Acad. Publ., Dordrecht Vol. 1 (2003), 75-88.
- [2] R. P. Agarwal, M. Meehan and D. O'Regan, Fixed point theory and applications, Cambridge University Press, Cambridge, 2001.
- [3] R. P. Agarwal and D. O'Regan, Fixed point theory for admissible multimaps defined on closed subsets of Fréchet spaces, Jour. Math. Anal. Appl. 277 (2003), 438-445.
- [4] R. P. Agarwal and D. O'Regan, Multivalued nonlinear equations on the half line: a fixed point approach, Korean Jour. Computational and Applied Math. 9 (2002), 509-524.
- [5] M. Frigon, Fixed point results for compact maps on closed subsets of Fr´echet spaces and applications to differential and integral equations, Bull. Soc. Math. Belgique 9 (2002), 23-37.
- [6] M. Frigon and D. O'Regan, Fixed points of cone-compression and cone-expanding operators in Fréchet spaces, Bull. London Math. Soc. 35 (2003), 672-680.
- [7] L. V. Kantorovich and G. P. Akilov, Functional analysis in normed spaces, Pergamon Press, Oxford 1964.
- [8] V. Lakshmikantham and S. Leela, Differential and integral inequalities, Academic Press, New York, Vol. 1 1969.
- [9] D. O'Regan and M. Meehan, Existence theory for nonlinear integral andintegrodifferential equations, Kluwer Acad. Publishers, Dordrecht 1998.
- [10] D. O'Regan, Maximal solutions and multivalued differential and integral inclusions on a noncompact interval, Nonlinear Functional Analysis and Applications, 11 (2006), 335-342.
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Bibliografia
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bwmeta1.element.baztech-article-BUS5-0004-0025