Optimality Conditions for Solutions of Constrained Inverse Vector Variational Inequalities by Means of Nonlinear Scalarization

نویسندگان

  • JIA WEI CHEN
  • ELISABETH KÖBIS
  • MARKUS A. KÖBIS
  • JEN-CHIH YAO
  • J. W. CHEN
  • E. KÖBIS
  • M. A. KÖBIS
  • J.-C. YAO
  • Li
چکیده

This work is devoted to examining inverse vector variational inequalities with constraints by means of a prominent nonlinear scalarizing functional. We show that inverse vector variational inequalities are equivalent to multiobjective optimization problems with a variable domination structure. Moreover, we introduce a nonlinear function based on a well-known nonlinear scalarization function. We show that this function is a weak separation function and a regular weak separation function under different parameter sets. Then two alternative theorems are established, which will provide the basis for characterizing efficient elements of inverse vector variational inequalities.

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تاریخ انتشار 2017