From an abstract maximal element principle to optimization problems, stationary point theorems and common fixed point theorems

  • Authors:

  • Lai-Jiu Lin;Wei-Shih Du

  • Affiliations:

  • Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058;Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan 802

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2010

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Abstract

In this paper, we first establish an existence theorem related with intersection theorem, maximal element theorem and common fixed point theorem for multivalued maps by applying an abstract maximal element principle proved by Lin and Du. Some new stationary point theorems, minimization problems, new fixed point theorems and a system of nonconvex equilibrium theorem are also given.