An Intersection Theorem and its Applications

  • Mircea Balaj Department of Mathematics, University of Oradea, Romania.
  • Donal O’Regan Department of Mathematics, National University of Ireland, Galway, Ireland.
Keywords: The better admissible class, fixed point, quasiconvex map, equilibrium problem


In this paper we obtain a very general intersection theorem for the values of a map. From this we derive existence theorems for two types of vectorial equilibrium problems, an analytic alternative and a minimax inequality involving three real functions.

How to Cite
M. Balaj and D. O’Regan, “An Intersection Theorem and its Applications”, CUBO, vol. 10, no. 4, pp. 73–83, Dec. 2008.