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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 64, 2015 - Issue 1: On the occasion of the 40th anniversary of the Journal, dedicated to the memory of its founder, Professor Karl-Heinz Elster, and to Professor Alfred Göpfert in celebration of his 80th birthday (Part 1)
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Articles

Image space analysis and separation for G-semidifferentiable vector problems

Giandomenico MastroeniDepartment of Computer Science, University of Pisa, Pisa, Italy.Correspondence[email protected]
&
Letizia PellegriniDepartment of Economics, University of Verona, Verona, Italy.
Pages 97-112 | Received 31 Mar 2014, Accepted 30 Sep 2014, Published online: 24 Oct 2014

References

  • Giannessi F. Semidifferentiable functions and necessary optimality conditions. J. Optim. Theory Appl. 1989;60:191–241.
  • Yen ND. On G-semidifferentiable functions in Euclidean spaces. J. Optim. Theory Appl. 1995;85:377–392.
  • Pappalardo M. On semidifferentiable functions. Optimization. 1992;24:207–217.
  • Quang PH. Some notes on semidifferentiability and generalized subdifferentials. Acta Math. Vietnam. 1993;18:79–90.
  • Giannessi F, Mastroeni G, Pellegrini L. On the theory of vector optimization and variational inequalities. Image space analysis and separation. In: Giannessi F, editor. Vector variational inequalities and vector equilibria. Mathematical theories. Vol. 1. Dordrecht: Kluwer; 2004.
  • Pellegrini L. Some remarks on semistationarity and optimality conditions. In: Giannessi F, editor. Nonsmooth optimization. Methods and applications. London: Gordon & Breach; 1992. pp. 295–302.
  • Mastroeni G, Pellegrini L. On the image space analysis for vector variational inequalities. J. Ind. Manage. Optim. 2005;1:123–132.
  • Tardella F. On the image of a constrained extremum problem and some applications to the existence of a minimum. J. Optim. Theory Appl. 1985;60:93–104.
  • Neustadt LW. An abstract variational theory with applications to a broad class of optimization problems I: general theory. SIAM J. Control Optim. 1966;4:505–527.
  • Robinson SM. Local structure of feasible sets in nonlinear programming, Part 3: stability and sensitivity. Math. Prog. Study. 1987;30:45–66.
  • Pappalardo M. Some calculus rules for semidifferentiable functions and related topics. In: Giannessi F, editor. Nonsmooth optimization. Methods and applications. London: Gordon & Breach; 1992. pp. 281–294.
  • Abadie J. On the Kuhn–Tucker theorem. Nonlinear programming. Amsterdam: North-Holland; 1967. pp. 19–36.
  • Rockafellar RT. Convex analysis. Princeton (NJ): Princeton University Press; 1970.
  • Dien PH, Mastroeni G, Pappalardo M, Quang PH. Regularity conditions for constrained extremum problems via image space. J. Optim. Theory Appl. 1994;80:19–37.
  • Mastroeni G. Optimality conditions and image space analysis for vector optimization problems. In: Ansari QH, Yao J-C, editors. Recent Developments in Vector Optimization. Heidelberg: Springer-Verlag; 2012. p. 169–220.
  • Jiménez B, Novo V. First and second order conditions for strict minimality in nonsmooth vector optimization. J. Math. Anal. Appl. 2003;284:496–510.

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