Operations Research Transactions ›› 2012, Vol. 16 ›› Issue (2): 32-40.

• Original Articles • Previous Articles     Next Articles

Existence and Optimality of Accessible and Approximatable Minimizers for Global Optimization with Deviation Integral

   Yao Yirong1, AN  Liu1, CHEN  Xi1, ZHENG  Quan2   

  1. 1.  Department of Mathematics, Shanghai University, Shanghai 200444, China; 2. Department of Mathematics, Columbus State University, Columbus, GA 31907
  • Received:2011-03-01 Revised:2012-03-29 Online:2012-06-15 Published:2012-06-15

Abstract: The concepts of robustness of sets and functions are  proposed in view of the theory of integral global minimization. These concepts are generalized, and global minimization of quasi and pseudo upper robust function is investigated in this paper. With the deviation integral optimality condition of global minimum, the existence of accessible minimizer of quasi upper functions and approximatable minimizer of pseudo upper robust function is examined..

Key words: global optimization, robust minimizer, quasi upper robust,  deviation integral