favicon Frontiers in Mathematical Sciences
7th Conference
University of Isfahan - January 1-3, 2020
Some recent problems in vector optimization
Majid Soleimani-Damaneh, University of Tehran
Date, Time, and Venue:  Thursday, January 2 | 11:00-11:45 | Hall 1
The main aim of this presentation is to investigate some recent problems in multi-objective programming and vector optimization. To this end, basic notions and approaches, including (weak/proper) efficiency, scalarization, and compromise programming, are addressed. In addition to the required material from aforementioned fields, some preliminaries from nonsmooth optimization are provided as well. Then, some recent topics around uncertainty, robustness, and differentiability of the marginal mapping in vector optimization are discussed. This presentation is based some works joint with L. Pourkarimi (Razi University), M. Rahimi (University of Tehran), D.T. Luc (Avignon University), and M. Zamani (Ferdowsi University).
Main References:
[1] F. Clarke, Functional analysis, calculus of variations and optimal control. Springer-Verlag, London, 2013.
[2] M. Ehrgott, Multicriteria optimization. Springer, Berlin, 2005.
[3] D.T. Luc, M. Soleimani-damaneh, M. Zamani, Semi-differentiability of the marginal mapping in vector optimization, SIAM Journal on Optimization, 28 (2018) 1255-1281.
[4] L. Pourkarimi, M. Soleimani-damaneh, Robustness in deterministic multiple objective linear programming with respect to the relative interior and angle deviation, Optimization 65 (2016) 1983-2005.
[5] M. Rahimi, M. Soleimani-damaneh, Robustness in deterministic vector optimization, Journal of Optimization Theory and Applications, 179 (2018) 137-162.
University of Isfahan IPM-Isfahan National Elits Foundation Iran National Science Foundation