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- Publisher
- Springer Journals
- Copyright
- Copyright © 2012 by Springer Basel AG
- Subject
- Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
- ISSN
- 1385-1292
- eISSN
- 1572-9281
- DOI
- 10.1007/s11117-012-0182-8
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we develop the characterization of weak $${\psi}$$ -sharp minimizer by means of an oriented distance function and investigate the weak $${\psi}$$ -sharp minimizer of the composition of two functions. Moreover, we establish sufficient conditions of the weak $${\psi_1}$$ -sharp and $${\psi_2}$$ -sharp Pareto minimality for vector optimization problem with strictly differentiable and twice strictly differentiable objective function, respectively. Our results extend the corresponding ones in the literature.
Journal
Positivity – Springer Journals
Published: May 9, 2012