Fixed point theory for compact absorbing contractions in extension type spaces

• Donal O’Regan ^[1]
  1. [1] National University of Ireland

     National University of Ireland

     Irlanda

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 2, 2010, págs. 199-215
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000200013
• Enlaces
  • Texto completo
• Resumen
  • español

    Son presentados en este artículo varios resultados nuevos de punto fijo para autoaplicaciones en espacios de tipo extensión. En particular discutimos contracciones compactas absorbentes.

  • English

    Several new fixed point results for self maps in extension type spaces are presented in this paper. In particular we discuss compact absorbing contractions.

• Referencias bibliográficas
  • Agarwal, R.P,O’Regan, D. (2007). A Lefschetz fixed point theorem for admissible maps in Fréchet spaces. Dynamic Systems and Applications....
  • Agarwal, R.P,O’Regan, D. (2008). Fixed point theory for compact absorbing contractive admissible type maps. Applicable Analysis. 87. 497-508
  • Agarwal, R.P,O’Regan, D,Park, S. (2002). Fixed point theory for multimaps in extension type spaces. Jour. Korean Math. Soc. 39. 579-591
  • Ben-El-Mechaiekh, H. (1990). The coincidence problem for compositions of set valued maps. Bull. Austral. Math. Soc. 41. 421-434
  • Ben-El-Mechaiekh, H. (2000). Spaces and maps approximation and fixed points. Jour. Computational and Appl. Mathematics. 113. 283-308
  • Ben-El-Mechaiekh, H,Deguire, P. (1991). General fixed point theorems for non-convex set valued maps. C.R. Acad. Sci. Paris. 312. 433-438
  • Engelking, R. (1989). General Topology. Heldermann Verlag. Berlin.
  • Gorniewicz, L. (1999). Topological fixed point theory of multivalued mappings. Kluwer Acad. Publishers. Dordrecht.
  • Gorniewicz, L,Granas, A. (1981). Some general theorems in coincidence theory. J. Math. Pures et Appl. 60. 361-373
  • Granas, A. (1968). Fixed point theorems for approximative ANR’s. Bull. Acad. Polon. Sc.. 16. 15-19
  • Granas, A,Dugundji, J. (2003). Fixed point theory. Springer. New York.
  • Kelley, J.L. (1955). General Topology. D. Van Nostrand Reinhold Co. New York.
  • O’Regan, D. (2004). Fixed point theory on extension type spaces and essential maps on topological spaces. Fixed Point Theory and Applications....
  • O’Regan, D. (2009). Asymptotic Lefschetz fixed point theory for ANES(compact) maps. Rendiconti del Circolo Matematico di Palermo. 58. 87-94