Sensitivity Analysis in Vector Optimization under Benson Proper Efficiency
Received:May 24, 1999  
Key Words: sensitivity analysis   perturbation maps   contingent derivatives   Benson proper efficiency.  
Fund Project:Supported by the National Natural Science Foundation of China (69972036)
Author NameAffiliation
SHENG Bao-huai Dept. of Math.
Xidian University
Xi'an
China 
LIU San-yang Dept. of Math.
Xidian University
Xi'an
China 
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Abstract:
      The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∈W(u). It is shown that, under some conditions, DW(u,y)?Pmin[DG(u,y),S] , and under some other conditions,DW(u,y)(u)?Pmin[DG(u,y)S].
Citation:
DOI:10.3770/j.issn:1000-341X.2002.03.015
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