An Intersection Theorem and its Applications

Mircea Balaj; Donal O‘Regan

An Intersection Theorem and its Applications

Authors

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

Abstract

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.