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OPTIMALITY CONDITIONS FOR NONSMOOTH OPTIMISATION PROBLEMS VIA GENERALISED DERIVATIVES

Part of: Numerical methods in calculus of variations and optimal control

Published online by Cambridge University Press:  04 December 2017

SARA HASSANI
SARA HASSANI*
Affiliation:
School of Physical, Environmental and Mathematical Sciences, University of New South Wales, Canberra, Australia email s.hassani@unsw.edu.au
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Abstract

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Keywords

optimal controlgeneralised derivativetopical functioninfinite horizon optimisation

MSC classification

Primary: 49M05: Methods based on necessary conditions
Secondary: 90C30: Nonlinear programming
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 1 , February 2018 , pp. 171 - 173
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Hassani, S. and Mammadov, M., ‘Optimality conditions in infinite horizon optimization by contingent derivative’, Pac. J. Optim., to appear.Google Scholar
Hassani, S. and Mammadov, M., ‘Relation between weak subdifferentials and Hadamard lower directional derivative’, in Proc. 44th Iranian Mathematics Conference, Mashhad, Iran, 2013, (Iranian Mathematical Society, Teheran, Iran, 2013), 348–351.Google Scholar
Hassani, S. and Mammadov, M., ‘Necessary and sufficient conditions for local optimality via weak subdifferentials’, Adv. Theor. Appl. Math. 9(2) (2014), 143–154.Google Scholar
Hassani, S. and Mammadov, M., ‘Sigma supporting cone and optimality conditions in non-convex problems’, Far East J. Math. Sci. (FJMS) 91 (2014), 169–190.Google Scholar
Hassani, S. and Mammadov, M., ‘Convergence of trajectories in infinite horizon optimization’, Int. J. Nonlinear Anal. Appl. 8(1) (2017), 123–131.Google Scholar
Hassani, S., Mammadov, M. and Jamshidi, M., ‘Characterizing non-convex sets with conic gap via sigma supporting cone’, in Proc. 10th IMT-GT International Conference on Mathematics, Statistics and its Applications, Terengganu, Malaysia, 2014, (American Institute of Physics, New York, 2014), 143–148.Google Scholar
Hassani, S., Mammadov, M. and Jamshidi, M., ‘Some geometrical properties of non-convex sets in finite dimensions’, in Proc. 45th Iranian Mathematics Conference, Semnan, Iran, 2014, (Iranian Mathematical Society, Teheran, Iran, 2014), 112–114.Google Scholar
Hassani, S., Mammadov, M. and Jamshidi, M., ‘Optimality conditions via weak subdifferentials in reflexive Banach spaces’, Turkish J. Math. 41 (2017), 1–8.Google Scholar
Hassani, S. and Mohebi, H., ‘Characterizations of minimal elements of topical functions on semimodules with applications’, Linear Algebra Appl. 520 (Suppl. C) (2017), 104–124.Google Scholar