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Abstrakty
New fixed point theorems for multivalued Volterra Kakutani Mönch maps between Fréchet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Frechét space as the projective limit of a sequence of Banach spaces.
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Tom
Strony
33-41
Opis fizyczny
Bibliogr. 6 poz.
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autor
- Deprtment of Mathematics Faculty of Mathematics and Applied Physics Rzeszów University of Technology W. Pola 2, P.O. Box 85 35-959 Rzeszów, Poland, jbanas@prz.rzeszow.pl
Bibliografia
- [1] R.P. Agarwal, J. H. Dshalalow and D. O'Regan, Fixed point theory for Mönch type maps defined on closed subsets of Frechet spaces: the projective limit approach, Int. Jour. Math. Math. Sciences, 17(2005), 2775-2782.
- [2] R.P. Agarwal, J. H. Dshalalow and D. O'Regan, Leray-Schauder principles for inward Kakutani Monch type maps, Nonlinear Functional Analysis and Applications, 10(2005), 325-330.
- [3] M. Frigon and D. O'Regan, A Leray-Schauder alternative for Mönch maps on closed subsets of Frechet spaces, Zeitschrift Anal. Anwendungen, 21(2001), 753-760.
- [4] L.V. Kantorovich and G.P. Akilov, Functional analysis in normed spaces, Pergamon Press, Oxford, 1964.
- [5] D. O'Regan, Leray-Schauder results for inward acyclic and approximable maps defined on Fréchet space, Applied Math. Letters, 19(2006), 976-982.
- [6] D. O'Regan and R. Precup, Fixed point theory for set valued maps and existence principles for integral inclusions, Jour. Math. Anal. AppL, 245(2000), 594-612.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-PWA7-0031-0018