In this paper, proper optimality concepts in vector optimization with variable ordering structures are introduced for the first time and characterization results via scalarizations are given. New type of scalarizing functionals are presented and their properties are discussed. The scalarization approach suggested in the paper does not require convexity and boundedness conditions.
Citation
Preprint of the Institute of Mathematics, Ilmenau University of Technology 13-05, 2013 ; a more recent version is published as 'Properly optimal elements in vector optimization with variable ordering structures', Journal of Global Optimization, Volume 60(4), 689-712, 2014