Fixed point theory for Volterra Kakutani Monch maps

• Autorzy: Banaś J. , O'Regan D.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fixed point theory; projective limits

PL

teoria punktu stałego; twierdzenie o punkcie stałym; równanie Volterry; przestrzeń Frecheta; analiza funkcjonalna; granica projektywna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2008
• Tom: Vol. 30
• Strony: 33--41
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Banaś J.

autor

O'Regan D.

• Deprtment of Mathematics Faculty of Mathematics and Applied Physics Rzeszów University of Technology W. Pola 2, P.O. Box 85 35-959 Rzeszów, Poland,

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.