Abstract
We present several new Lefschetz fixed point results for compact self maps in new classes of spaces with respect to the map.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agarwal, R.P., O’Regan, D.: A Lefschetz fixed point theorem for admissible maps in Fréchet spaces, Dynam. Systems Appl., 16 (2007), 1–12
Agarwal, R.P., O’Regan, D.: Fixed point theory for compact absorbing contractive admissible type maps, Appl. Anal., 87 (2008), 497–508
Agarwal, R.P., O’Regan, D., Park, S.: Fixed point theory for multimaps in extension type spaces, J. KoreaMath. Soc., 39 (2002), 579–591
Ben-El-Mechaiekh, H.: The coincidence problem for compositions of set valued maps, Bull. Aust. Math. Soc., 41 (1990), 421–434
Ben-El-Mechaiekh, H.: Spacesandmaps approximation and fixed points, J.Comput.Appl. Math., 41 (2000), 283–308
Ben-El-Mechaiekh, H., Deguire, P.: General fixed point theorems for non-convex set valued maps, C. R. Acad. Sci. Paris, 312 (1991), 433–438
Engelking, R.: General Topology. Berlin: Heldermann Verlag (1989)
Fournier, G., Gorniewicz, L.: The Lefschetz fixed point theorem for multi-valued maps of non-metrizable spaces, Fund. Math., 92 (1976), 213–222
Gorniewicz, L.: Topological fixed point theory of multivalued mappings. Dordrecht: Kluwer Acad. Publishers (1999)
[10]. Gorniewicz, L., Granas, A.: Some general theorems in coincidence theory, J.Math. Pures Appl., 60 (1981), 361–373
Granas, A.: Fixed point theorems for approximative ANR’s, Bull. Acad. Polon. Sc., 16 (1968), 15–19
Granas, A., Dugundji, J.: Fixed point theory. New York: Springer (2003)
Kelley, J.L.: General Topology. New York: D. Van Nostrand Reinhold Co. (1955)
O’Regan, D.: Fixed point theory on extension type spaces and essential maps on topological spaces, Fixed Point Theory Appl., 2004 (2004), 13–20
O’Regan, D.: Asymptotic Lefschetz fixed points for ANES(compact)maps, Rend.Circ.Mat. Palermo, 58 (2009), 87–97
O’Regan, D.: Fixed point theory for compact absorbing contractions in extension type spaces, CUBO, to appear
O’Regan, D.: Periodic points for compact absorbing contractions in extensiontype spaces, Commun. Appl. Anal., to appear
O’Regan, D.: Fixed point theory in generalized approximate neighborhood extension spaces, Fixed Point Theory, to appear
Skiba, R., Slosarski, M.: On a generalization of absolute neighborhoodretracts, Topology Appl., 156 (2009), 697–709
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
O’Regan, D. Lefschetz fixed point theorems in generalized neighborhood extension spaces with respect to a map. Rend. Circ. Mat. Palermo 59, 319–330 (2010). https://doi.org/10.1007/s12215-010-0025-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12215-010-0025-z