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Properly optimal elements in vector optimization with variable ordering structures

Gabriele Eichfelder (Gabriele.Eichfelder***at***tu-ilmenau.de)
Refail Kasimbeyli (rkasimbeyli***at***anadolu.edu.tr)

Abstract: 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.

Keywords: vector optimization, variable ordering structure, proper efficiency, scalarization

Category 1: Nonlinear Optimization

Category 2: Other Topics (Multi-Criteria Optimization )

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

Download: [PDF]

Entry Submitted: 04/08/2013
Entry Accepted: 04/08/2013
Entry Last Modified: 01/02/2015

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