Fixed point theory for multimaps defined on admissible subsets of topological vector spaces

• Autorzy: Agarwal, R. P. , O’regan, D.
• Języki publikacji: EN

Abstrakty

EN

New fixed point theory is presented for compact U_c^k(X, X) maps where X is an admissible subset of a Hausdorff topological vector space.

Słowa kluczowe

EN

fixed point theory; Hausdorff topological vector space; multimaps; admissible

• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 1--10
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Agarwal, R. P.

• Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, U.S.A.

autor

O’regan, D.

• Department of Mathematics, National University of Ireland, Galway, Ireland

Bibliografia

• [1] R. P. Agarwal and D. O’Regan, Homotopy and Leray-Schauder principles for multimaps, Nonlinear Analysis Forum 7 (2002), 103-111.
• [2] R. P. Agarwal and D. O’Regan, Collectively fixed point theorems, Nonlinear Analysis Forum 7 (2002), 167-179.
• [3] R. P. Agarwal and D. O’Regan, Fixed point theory on extension type spaces and essential maps on topological spaces, to appear.
• [4] R. P. Agarwal, D. O’Regan and S. Park, Fixed point theory for multimaps in extension type spaces, Jour. Korean Math. Soc. 39 (2002), 579-591.
• [5] C. D. Aliprantis and K. C. Border, Infinite Dimensional Analysis, Springer Verlag, Berlin, 1994.
• [6] H. Ben-El-Mechaiekh, The coincidence problem for compositions of set valued maps, Bull. Austral. Math. Soc. 41 (1990), 421-434.
• [7] H. Ben-El-Mechaiekh and P. Deguire, Approachability and fixed points for non-convex set valued maps, Jour. Math. Anal. Appl. 222 (1992), 477-500.
• [8] L. Gorniewicz, Topological Fixed Point Theory of Multivalued Mappings, Kluwer Acad. Publishers, Dordrecht, 1999.
• [9] A. Granas, Points fixes pour les applications compactes: espaces de Lefschetz et la theorie de l’indice, Presses Univ. De Montreal, 1980.
• [10] D. O’Regan, Admissible spaces and α-fixed points, to appear.
• [11] S. Park, A unified fixed point theory of multimaps on topological vector spaces, Jour. Korean Math. Soc. 35 (1998), 803-829.