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FIXED POINTS AND ALTERNATIVE PRINCIPLES

  • Park, Se-Hie (The National Academy of Sciences, Department of Mathematical Sciences, Seoul National University) ;
  • Kim, Hoon-Joo (Department of Mathematical Education, Sehan University)
  • Received : 2012.08.06
  • Accepted : 2012.08.26
  • Published : 2012.09.25

Abstract

In a recent paper, M. Balaj [B] established an alternative principle. The principle was applied to a matching theorem of Ky Fan type, an analytic alternative, a minimax inequality, and existence of solutions of a vector equilibrium theorem. Based on the first author's fixed point theorems, in the present paper, we obtain generalizations of the main result of Balaj [B] and their applications.

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