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The aim of this paper is to give some conditions providing existence of fixed points for k-lipschitzian and uniformly k-lipschitzian mappings which are n-rotative with n ≥ 2 in complete metric spaces of hyperbolic type.
Czasopismo
Rocznik
Tom
Strony
49--70
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- Department of Mathematics Rzeszów University of Technology P.O. Box 85, 35-595 Rzeszów, Poland, gornicki@prz.rzeszow.pl
Bibliografia
- [l] M. Bridson, A. Haefliger, Metric. Spaces of non-Positive Curvature, Springer -Verlag, Berlin, Heidelberg, New York, 1999.
- [2] K. Goebel, W.A. Kirk, Iteration processes for nonexpansive mappings, Contemporary Math. 21 (1983), 115 - 123.
- [3] K. Goebel, M. Koter, A remark on nonexpansive mappings, Canadian Math. Bull. 24 (1981), 113- 115.
- [4] K. Goebel, M. Koter, Fixed points of rotative lipschitzian mappings, Rend. Sem. Mat. Fis. Milano 51 (1981), 145 - 156.
- [5] K. Goebel, S. Reich, Uniform comvexity, hyperbolic geometry and nonexpansive. mappings, Marcel Dekker, New York -Basel, 1984.
- [6] J. Górnicki, Fixed points of involutions, Math. Japonica 43, no, l (1996), 151 -155.
- [7] J. Górnicki, Re.marks an fixed points of rotative Lipschitzian mappings, Comment. Math, Univ. Carolinae 40 (1999), 495 - 510.
- [8] J. Górnicki, Another proof of the existence of fixed points of rotative nonexpansive mappings, Annales UMCS, Sect. A, Math,, 59 (2005), 19- 26.
- [9] J. Górnicki, K. Pupka,, Fixed points of rotative mappings in Banach spaces, Journal of Nonlinear and Convex Analysis vol. 6, no. 2 (2005), 217 - 233.
- [10] B. Halpern, Fixed points of nonexpansive maps, Bull. Amer. Math. Soc. 73 (1967), 957- 961.
- [11] W. Kaczor, M. Koter - Mórgowska, Rotative mappings and mappings with constant displacement, in Handbook of Metric Fixed Point Theory, W.A. Kirk, B. Sims, Editors, Kluwer Acad. Pub-, Dordrecht - Boston - London 2001, 323- 337.
- [12] W,A. Kirk, Krasnosielski's iteration process in hyperbolic space, Numer. Funct. Anal. and Optimiz, 4 (1981 -1982), 371 -381.
- [13] W. A. Kirk, Geodesic geometry and fixed point theory, in: Seminar of Mnthematical Analysis (Proceedings, Universitaies of Malaga and Seville, Sept. 2002 - Feb. 2003), (D. Girela Álvarez, G. López Acedo, R. Villa Caro, eds.), Universidad de Sevilla, Sevilla, 2003, 195 - 225.
- [14] W. A. Kirk, Geodesic geometry and fixed point theory II, in Proceedings of the. International Conference. on Fixed Point Theory and Applications, Valencia (Spain), 13-19 July 2003 (J. Garcia Falset, E. Llorens Fuster, B. Sims, eds.), Yokohama Publ., 2004, 113 - 142.
- [15] T.Komorowski, Selected topics on lipschitizian mappings (in Polish), Thesis, UMCS, Lublin 1987.
- [16] M. Koter - Mórgowska, Rotative mapping in Hilbert space, Journal of Nonlinear and Convex Analysis l, no 3 (2000), 295 - 304.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0007-0005