Publications:
- R.A. Poliquin, L. Thibault and R.T. Rockafellar,
Local differentiability
of distance functions, preprint.
Title page (with abstract) only
- C. Combari, A. Elhilali Alaoui, A.B. Levy, R.A. Poliquin and
L. Thibault,
Composite functions in Banach spaces and the
primal lower nice property to appear in Proc. A.M.S.
Title page (with abstract) only
- R.A. Poliquin and R.T. Rockafellar,
Tilt stability of a local minimum ,
S.I.A.M. Journal on Optimization, 8 (1998), 287--299.
Title page (with abstract) only
- D. Azé and R.A. Poliquin,
Equi-calmness and epi-derivatives that are pointwise limits,
Jour. of Optimization Theory, 96 (1998), 555--573..
Title page (with abstract) only
- R.A. Poliquin and R.T. Rockafellar,
Proto-differentiation of partial subgradient mappings ,
Journal of Convex Analysis, 4 (1997), 221--234.
Title page (with abstract) only
- A.B. Levy and R.A. Poliquin,
Characterization of the local single-valuedness of multifunctions ,
Set-Valued Analysis, 5 (1997), 351--364.
Title page (with abstract) only
- S. Di and R.A. Poliquin,
Optimality conditions
for Max-type nonsmooth minimization problems
Optimization, 41
(1997), no. 3, 219--236.
Title page (with abstract) only
- R.A. Poliquin and R.T. Rockafellar,
Prox-regular functions in variational analysis,
Trans. Amer. Math. Soc.
348 (1996), 1805--1838.
- R.A. Poliquin and R.T. Rockafellar,
Generalized Hessian properties of regularized nonsmooth functions,
S.I.A.M. journal on Optimization 6 (1996), 1121--1137.
- R.A. Poliquin and R.T. Rockafellar,
Second-order nonsmooth analysis in nonlinear programming,
in Recent Advances in Nonsmooth
Optimization (D.\ Du, L.\ Qi and R.\ Womersley, eds.), World Scientific
Publishers (1995) 322--350.
- A. Levy, R.A. Poliquin and L. Thibault,
A partial extension of Attouch's Theorem and its applications to
second-order epi-differentiation , Trans. Amer. Math. Soc.
347
(1995), 1269--1294.
- S. Di and R.A. Poliquin, Calmness is optimization problems with equality constraints, Jour. Math. Anal. and Appl., 189 (1995), 502--513.
- R. A. Poliquin, J. Vanderwerff and V.E. Zizler, Renormings and convex composite representation of
functions, Bulletin of the Polish Academy of Sciences Mathematics, 42 (1994), 9--19.
- R.A. Poliquin and L. Qi, Iteration functions in some nonsmooth optimization algorithms,
Mathematics of Operations Research, 20 (1995), 479--496.
- S. Di and R.A. Poliquin, The contingent cone to a set defined by equality
and inequality constraints at a (Fré chet) differentiable point,
Journal of Optimization Theory and Applications, 81 (1994), 469--478.
- R.A. Poliquin and R.T. Rockafellar,
Proto-derivative formulas for basic subgradient mappings
in mathematical programming,
Set-Valued Analysis 2 (1994), 275--290.
- R. A. Poliquin, J. Vanderwerff and V.E. Zizler, Convex composite representation of
lower semicontinuous functions and re\-nor\-mings, C.R. Acad. Sci. Paris, 317
, (1993), 545--549.
- R.A. Poliquin and R.T. Rockafellar,
A Calculus of epi-derivatives with applications to
optimization', Can. Jour. Math. 45 (4) 1993, 879--896.
- D.\ McLaughlin, R.A. Poliquin J.\ Vanderwerff and V.E. Zizler,
Second order Gateaux differentiability and smooth convex
approximation,
Can. Jour. Math. 45 (1993), 612--625.
- R. A. Poliquin, A generalization of Attouch's theorem and its applications to
second-order epi-differentiation of convexly composite functions',
Trans. Amer. Math. Soc. 332 (2) 1993, 861--874.
- R. A. Poliquin, A characterization of proximal subgradient set-valued mappings,
Canadian Mathematical Bulletin 36 (1) 1993, 116--122.
- J.V. Burke and R.A. Poliquin, Optimality conditions for
non-finite convex composite functions',
Mathematical Programming 57 (1992), 103--120.
- R.A. Poliquin and R.T. Rockafellar,
Amenable functions in optimization,
Nonsmooth Optimization Methods and Applications, F. Giannessi (ed.), Gordon and Breach, Philadelphia, 1992, 338--353.
- R.A. Poliquin, Integration of subdifferentials of nonconvex functions,
Nonlinear Analysis, Theory, Methods \& Applications, 17 (1991),
385--398.
- R.A. Poliquin, Subgradient monotonicity and convex functions,
Nonlinear Analysis, Theory, Methods \& Applications
14
1990, 305-317.
- R.A. Poliquin, Proto-differentiation of subgradient set-valued mappings,
Can. Jour. Math. XLII 1990, 520-532.
- R.A. Poliquin and V.E. Zizler , Optimization of convex functions on $w^*$-compact sets, Manuscripta Mathematica 68 (3) 1990, 249-270.