Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 134, Issue -, Pages 127-143Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2016.01.002
Keywords
Robust multiobjective optimization; Optimality condition; Duality; Limiting/Mordukhovich subdifferential; Generalized convexity
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Funding
- UNSW Vice-Chancellor's Postdoctoral Research Fellowship [RG134608/SIR50]
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This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. We establish necessary/sufficient optimality conditions for robust (weakly) Pareto solutions of the considered problem. These optimality conditions are presented in terms of multipliers and limiting subdifferentials of the related functions. In addition, we address a dual (robust) multiobjective problem to the primal one, and explore weak/strong duality relations between them under assumptions of (strictly) generalized convexity. (C) 2016 Elsevier Ltd. All rights reserved.
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