Research papers in Journals
M.
Bianchi, N. Hadjisavvas and R. Pini, Representative functions of
maximally monotone operators and bifunctions, Math. Programming B (to
appear).
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F.
Flores-Bazán, N. Hadjisavvas, F. Lara and I. Montenegro,
First- and
Second-Order Asymptotic Analysis with Applications in Quasiconvex
Optimization, J. Optim. Theory Appl. 170, 372-393 (2016).
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N. Hadjisavvas, F.M.O. Jacinto and J.E. Martinez-Legaz:
Some
conditions for maximal monotonicity of bifunctions. Set-Valued Var. Anal.
24, 323-332 (2016).
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N. Hadjisavvas, J.B. Hiriart-Urruty and P.-J. Laurent:
A Characterization by Optimization of the Monge Point of a Tetrahedron,
J. Optim. Theory Appl 171, 856-864 (2016).
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N. Hadjisavvas and J.-P. Penot:
Revisiting the problem of
integrability in utility theory. Optimization 64, 2495-2509 (2015).
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F. Flores-Bazan, N. Hadjisavvas and F. Lara: Second order asymptotic
analysis: basic theory. J. Convex Anal. 22, 1173-1196 (2015).
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M. H. Alizadeh, M. Bianchi, N. Hadjisavvas and R. Pini:
On cyclic and n-cyclic monotonicity of bifunctions, J. Global Optim. 60, 599-616 (2014). Final version.
The final publication is available at http://www.springerlink.com/.
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M.H. Alizadeh and N. Hadjisavvas: On the Fitzpatrick transform of
a monotone bifunction, Optimization 62, 693-701 (2013). You can download the article here.
N. Hadjisavvas, S. Schaible and N.-C. Wong: Pseudomonotone Operators: a Survey of the Theory and its Applications, J. Optim.
Theory Appl. 15, 1-20 (2012) Final version.
The final publication is available at http://www.springerlink.com/.
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M.H. Alizadeh, N. Hadjisavvas and M. Roohi: Local Boundedness Properties for Generalized Monotone
Operators, J. Convex Analysis 19, 49-61 (2012).
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M.H. Alizadeh and N. Hadjisavvas: Local Boundedness of Monotone Bifunctions, J. Global Optim. 53, 231-241 (2012). Final version. The final publication is available at http://www.springerlink.com/.
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N. Hadjisavvas and D.T. Luc: Second-order asymptotic directions of
unbounded sets with application to optimization, J. Convex Analysis 18, 181-202
(2011).
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L.-C. Ceng, N. Hadjisavvas and N.C. Wong: Strong
convergence theorem by a hybrid extragradient-like approximation method
for variational inequalities and fixed-point problems, J. Global Optim. 46, 635-646 (2010). Final version. The original publication is available at www.springerlink.com.
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N. Hadjisavvas and H. Khatibzadeh: Maximal monotonicity of bifunctions, Optimization 59, 147-160 (2010). You can download the article here.
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D. Aussel, Y. Garcia and N. Hadjisavvas: Single-directional property of
multivalued maps and variational systems, SIAM J. Optim. 20, 1274-1285
(2009). Final version. Copyright belongs to SIAM. The original publication is available athttp://www.siam.org/journals/siopt.php.
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N. Hadjisavvas and S. Schaible: Pseudomonotone* maps and the cutting plane
property, J. Global Optim. 43, 565-575 (2009) Final version. The original publication is available at http://www.springerlink.com/content/100288/.
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L.C. Ceng, N. Hadjisavvas, S. Schaible, and J. C. Yao:
Well-Posedness for
Mixed Quasivariational-Like Inequalities, J. Optim. Theory Appl.
139, 109-125 (2008) Final version. The original publication is available at http://www.springerlink.com/content/1573-2878/.
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M.R. Bai and N. Hadjisavvas: Relaxed quasimonotone operators and relaxed
quasiconvex functions, J. Optim. Theory Appl. 138, 329-339 (2008) Final version. The original publication is available at http://www.springerlink.com/content/1573-2878/.
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F.
Flores-Bazán, N. Hadjisavvas and C. Vera: An optimal alternative
theorem and applications to mathematical programming, J. Global Optim.
37, 229-243 (2007). Final version. The original publication is available at www.springerlink.com.
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N. Hadjisavvas: Translations of quasimonotone maps and monotonicity, Appl. Math. Lett. 19, 913-915 (2006). Final version. The original publication is available at http://www.sciencedirect.com/science/journal/08939659.
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N.
Hadjisavvas and S. Schaible: On a generalization of paramonotone maps
and its application to solving the Stampacchia variational inequality,
Optimization 55, 593-604 (2006). You can download the article here.
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M.
Bianchi, N. Hadjisavvas and S. Schaible: Exceptional families of
elements for variational inequalities in Banach spaces, J. Optim.
Theory Appl. 129, 23-31 (2006). Final version. The original publication is available at http://www.springerlink.com/content/1573-2878/.
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D.
Aussel and N. Hadjisavvas: Adjusted sublevel sets, normal operator and
quasiconvex programming, SIAM J. Optim. 16, 358-367 (2005). Final version. The original publication is available at http://epubs.siam.org/SIOPT/vol_16_iss_2.html.
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M.
Bianchi, N. Hadjisavvas and S. Schaible: Minimal coercivity conditions
and exceptional families of elements in quasimonotone variational
inequalities, J. Optim. Theory Appl. vol. 122, 1-17 (2004). Final version. The original publication is available athttp://www.springerlink.com/content/1573-2878/.
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D.
Aussel and N. Hadjisavvas: On quasimonotone variational
inequalities, J. Optim. Theory Appl. vol. 121, 445-450
(2004). Final version. The original publication is available at http://www.springerlink.com/content/1573-2878/.
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N. Hadjisavvas: Continuity and maximality properties of pseudomonotone operators, J. Convex Anal. vol. 10, 465-475 (2003).
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N.
Hadjisavvas: Hadamard-type inequalities for quasiconvex functions,
JIPAM J. Inequal. Pure Appl. Math. vol. 4 Issue 1, Article 13,
2003. pdf file (no other link to this file is permitted by the publisher, http://jipam.vu.edu.au/copyright.html)
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M. Bianchi, N. Hadjisavvas and S.
Schaible: On pseudomonotone maps T for which -T is
also pseudomonotone, J. Convex Anal. vol. 10, 149-168 (2003).
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N. Hadjisavvas: The Use of Subdifferentials
for studying Generalized Convex Functions, J. Stat. Manag. Syst. 5,
125-139 (2002).
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A.
Daniilidis, N. Hadjisavvas and J.E. Martinez-Legaz: An appropriate
subdifferential for quasiconvex functions, SIAM J. Optim. 12, 407-420
(2002).
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A. Daniilidis amd N.
Hadjisavvas: On generalized cyclically monotone operators and
proper quasimonotonicity. Optimization 47, 123-135 (2000).
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A. Daniilidis
and N. Hadjisavvas: On the Subdifferentials of Pseudoconvex and
Quasiconvex functions and Cyclic Monotonicity. J. Math. Anal.
Appl. 237, 30-42 (1999).
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A.
Daniilidis and N. Hadjisavvas: Characterization of Nonsmooth
Semistrictly Quasiconvex and Strictly Quasiconvex Functions. J.
Optim. Theory Appl. 102, 525-536 (1999).
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A. Daniilidis and
N. Hadjisavvas: Coercivity Conditions and Variational
Inequalities. Math. Programming 86, 433-438 (1999).
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N. Hadjisavvas, S. Schaible: From Scalar to
Vector Equilibrium Problems in the Quasimonotone Case. J. Optim.
Theory Appl. Vol. 96, 297-309 (1998).
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M. Bianchi, N.
Hadjisavvas and S. Schaible: Vector Equilibrium Problems with
Generalized Monotone Bifunctions. J. Optim. Theory Appl. 92, 527-542
(1997).
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A.
Daniilidis, N. Hadjisavvas and S. Schaible: Connectedness of the
efficient set for three-objective quasiconcave optimization problems.
J. Optim. Theory Appl 93, 517-524 (1997).
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A. Daniilidis,
N. Hadjisavvas: Existence Theorems for Vector Variational
Inequalities. Bull. Austral. Math. Soc. 54, 473-481 (1996).
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N. Hadjisavvas, S.
Schaible: Quasimonotone Variational Inequalities in Banach Spaces.
J. Optim. Theory Appl. 90, 95-111 (1996).
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N. Hadjisavvas, D. Kravvaritis and I.
Polyrakis: Weakly compact subsets of L1(m, X)
and bvca (m, X) . Rend. Circ. Mat. Palermo 48 (series II),
119-126 (1994).
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N.
Hadjisavvas and S. Schaible: On strong Pseudomonotonicity and
(Semi)strict Quasimonotonicity. J. Optim. Theory Appl. 79, 139-155
(1993) (+ Errata corrige, J. Optim. Theory Appl. 85, 741-742
(1995)).
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N. Hadjisavvas, D.
Kravvaritis, G. Pantelides: Structural properties of nonlinear
monotone Operators with values in L(X,Y). Serdica 16, 246-248 (1990).
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N.
Hadjisavvas, D. Kravvaritis, G. Pantelides, I.
Polyrakis: Hereditary order convexity in L(X,Y). Rend. Circ. Mat.
Palermo 38, 130-139 (1989).
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N. Hadjisavvas, D.
Kravvaritis, G. Pantelides, I. Polyrakis: Nonlinear monotone
Operators with values in L(X,Y). J. Math. Anal. Appl. 140, 83-94 (1989).
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N. Hadjisavvas, B.
Nassopoulos and G. Pantelides: On the renorming of a vector space
endowed with two norms and the simultaneous approximation problem.
Math. Annalen 280, 549-557 (1988).
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N.
Hadjisavvas, B. Nassopoulos and G. Pantelides: Uber die Existenz
gemeinsamer Elemente bester Approximation bezueglich zweier Normen.
Manuscr. Math. 58, 245-252 (1987).
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N. Hadjisavvas: Metrics on the set of states of a W*-algebra. Linear Algebra Appl. 84, 281-287 (1986).
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N.
Hadjisavvas, A. K. Theophilou: A rigorous formulation of the
Slater's transition-state theory for excited states. Phys. Rev. A32,
720-724, (1985).
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N. Hadjisavvas, A. K. Theophilou: A rigorous formulation of the Kohn and Sham theory. Phys. Rev. A30, 2183-2186 (1984).
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M.
Mugur-Schachter, N. Hadjisavvas: The probabilistic-informational
concept of an opacity functional. Kybernetes, 11, 189-193 (1982).
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N. Hadjisavvas: On Cantoni's generalized transition probability. Comm. Math. Phys. 83, 43-48 (1982).
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N. Hadjisavvas: On the "Hidden Variables" theory of A. Bach. Phys. Let. 82A, 107-108 (1982).
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N.
Hadjisavvas, F. Thieffine and M. Mugur-Schachter: Critical remark
on Jauch's Program. Lett. Nuovo Cim. 30, 530-532 (1981).
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N. Hadjisavvas: Properties of mixtures of non-orthogonal states. Lett. Math. Phys. 5, 327-332 (1981).
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N. Hadjisavvas: Distance
between states and statistical inference in Quantum Theory. Ann. Inst.
Henri Poincare, 35, 287-309 (1981).
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F.
Thieffine, N. Hadjisavvas and M. Mugur-Schachter: Supplement to a
critique of Piron's system of questions and propositions. Found. Phys.
11, 645-649 (1981).
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N.
Hadjisavvas: The Maximum Entropy Principle as a consequence of the
principle of Laplace. J. Stat. Phys. 26, 807-815 (1981).
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N. Hadjisavvas, F. Thieffine and M.
Mugur-Schachter: Study of Piron's system of questions and
propositions. Found. Phys. 10, 751-765 (1980).
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N.
Hadjisavvas: Non conservation du moment cinetique total, selon la
Theorie Quantique des mesures, lors d' une mesure de spin. Lett. Epist.
24, 14-20 (1979). A copy of the paper and related material can be found
here.
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N. Hadjisavvas and M.
Mugur-Schachter: Unbounded measures on the closed subspaces of a
Hilbert space. Lett. Nuovo Cim. 23, 439-443 (1978).
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N. Hadjisavvas: Etude de certaines consequences d' une
interpretation subjective de la notion d' etat. Ann. Fond. Louis de
Broglie, 3, 155-176 (1978).
For
copyright reasons, I cannot put links to all published papers. However,
do not hesitate to ask for a copy by sending an e-mail to nhad (here
goes "at") aegean.gr
Thesis
- N. Hadjisavvas: Critique des formulations logiques de la Mécanique Quantique. Inférence statistique et distance Hilbertienne entre états quantiques.
Thèse d'Etat, Université de Reims, France (1981).
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N. Hadjisavvas: Deux études sur la Mécanique Quantique: Généralisation de la notion d' état, et emploi de la theorie des groupes dans l'étude de la notion d'hypesymetrie. Mémoire, DEA de Physique, Université de Reims, France (1977).
BooksN. Hadjisavvas, S. Komlosi and S. Schaible (Eds.):
Handbook on Generalized Convexity and Generalized Monotonicity,
Springer, Nonconvex Optimization and its Applications vol. 76, 2005, ISBN 0-387-23255-9.
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A. Eberhard, N. Hadjisavvas, D.T. Luc (Eds.):
Generalized
Convexity, Generalized Monotonicity and Applications (Proceedings
of the 7th International Symposium on Generalized Convexity and
Generalized Monotonicity), Springer, Nonconvex Optimization and its
Applications vol. 77, 2005, ISBN 0-387-23638-4.
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N. Hadjisavvas, P. Pardalos (Eds):
Advances
in Convex Analysis and Global Optimization, in the series: Nonconvex Optimization and Applications vol. 54, Kluwer Academic Publishers 2001,
ISBN 0-7923-6942-4.
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N. Hadjisavvas, J.E. Martinez-Legaz, J.P. Penot (Eds): Generalized
Convexity and Generalized Monotonicity: Proceedings of the 6th
International Symposium on Generalized Convexity/Monotonicity ,
in the series: Lecture Notes in Economics and Mathematical Systems no.502. Springer-Verlag, 2001,
ISBN 3-540-41806-7.
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N.
Hadjisavvas, D. Hughes-Hallett, I. Vakalis (eds): Proceedings of the
International Conference on the teaching of Mathematics (July 3-6,
1998 Pythagorion, Samos, Greece), John Wiley and Sons,
Inc., 1998.
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D.
Kravvaritis, G. Pantelidis, N. Hadjisavvas: Ordinary Differential
Equations (in Greek). Ziti Publications, 1990, Thessaloniki
(Textbook).
Other publicationsN. Hadjisavvas: Pseudomonotone Maps: Properties and Applications,
in: Encyclopedia of Optimization, P. Pardalos and G. Floudas (eds), Springer, 2008.
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N. Hadjisavvas amd S. Schaible: Generalized Monotone Maps,
in: Handbook of Generalized Convexity and Generalized Monotonicity, N.
Hadjisavvas, S. Komlosi and S. Schaible (eds), Springer, 2005.
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N. Hadjisavvas: Generalized Convexity, Generalized Monotonocity and Nonsmooth Analysis,
in: Handbook of Generalized Convexity and Generalized Monotonicity, N.
Hadjisavvas, S. Komlosi and S. Schaible (eds), Springer, 2005.
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N. Hadjisavvas: Maximal Pseudomonotone Operators,
in: Recent advances in Optimization, G.P. Crespi, A. Guerraggio, E.
Miglierina, M. Rocca (eds), Proceedings of the workshop held in Varese,
13-14/6/2002 (invited talk), Datanova Editrice, 2003.
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N. Hadjisavvas and S. Schaible:
(a) Generalized Monotone Single Valued Maps
(b) Generalized Monotone Multi Valued
Maps (c) Generalized Monotonicity: Applications to
Variational Inequalities and Equilibrium Problems (3 articles in:
Encyclopedia of Optimization, P. Pardalos and G. Floudas, eds, Kluwer
Academic Publishers, 2001).
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N. Hadjisavvas
and S. Schaible: Pseudomonotonicity and Quasimonotonicity in
Variational Inequalities and Equilibrium Problems, in:
Generalized Convexity, Generalized Monotonicity. Proceedings of the 5th
Conference on Generalized Convexity, J.P. Crouzeix et al (eds), Kluwer,
1998.
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N. Hadjisavvas,
D. Kravvaritis, G. Pantelides: On nonlinear
monotone Operators with values in L(X,Y), in: Constantine
Caratheodory: An international Tribute. Th. Rassias, Editor. Word
Scientific Publications Company, 1990.
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N. Hadjisavvas: What a hidden variables theory is not. Lettres epistemologiques 69.2, 5-8, 1983.
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N. Hadjisavvas:
The Role of the “Hidden Variables” of the Apparatus in Bell’s Theorem. Lettres epistemologiques 69.0, 1-3, 1983.
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