Generalized Lefschetz fixed point theorems in extension type spaces

Volume 8, Issue 6, pp 986--996 http://dx.doi.org/10.22436/jnsa.008.06.09

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 1722 Downloads
• 2569 Views

Authors

Donal ORegan - School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.

Abstract

Several Lefschetz fixed point theorems for compact type self maps in new classes of spaces are presented in this paper.

Share and Cite

Keywords

• Extension spaces
• fixed point theory
• Lefschetz fixed point theorem.

MSC

•  47H10

References

• [1] H. Ben-El-Mechaiekh , The coincidence problem for compositions of set valued maps , Bull. Austral. Math. Soc., 41 (1990), 421-434.


• [2] H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, J. Comput. Appl. Math., 113 (2000), 283-308.


• [3] H. Ben-El-Mechaiekh, P. Deguire, General fixed point theorems for nonconvex set-valued maps, C. R. Acad. Sci. Paris, 312 (1991), 433-438.


• [4] R. Engelking, General Topology, Heldermann Verlag, Berlin (1989)


• [5] G. Fournier, L. Gorniewicz, The Lefschetz fixed point theorem for multi-valued maps of non-metrizable spaces, Fund. Math., 92 (1976), 213-222.


• [6] L. Gorniewicz, Topological fixed point theory of multivalued mappings, Kluwer Acad. Publishers, Dordrecht (1999)


• [7] L. Gorniewicz, A. Granas, Some general theorems in coincidence theory, I. J. Math. Pures Appl., 60 (1981), 361-373.


• [8] A. Granas, J. Dugundji , Fixed point theory, Springer, New York (2003)


• [9] J. L. Kelley , General Topology, D. Van Nostrand Reinhold Co., New York (1955)


• [10] D. O'Regan , Lefschetz fixed point theorems in generalized neighborhood extension spaces with respect to a map , Rend. Circ. Mat. Palermo, 59 (2010), 319-330.


• [11] D. O'Regan , Fixed point theory in generalized approximate neighborhood extension spaces , Fixed Point Theory, 12 (2011), 155-164.


• [12] D. O'Regan , Lefschetz type theorem for a class of noncompact mappings, J. Nonlinear Sci. Appl., 7 (2014), 288-295.