Nicolas Hadjisavvas
Professor, Department of Product and Systems Design Engineering, University of the Aegean
Doctorat d'Etat 1981 (University of Reims, France)

Past chair (2003 - 2006), Interim chair (October 2008 - June 2009), International Working Group on Generalized Convexity

Editorial Boards: Journal of Optimization Theory and Applications; Journal of Global Optimization; Optimization; Optimization Letters.

Constantin Caratheodory

Photos from faraway lands

Areas of interest

Generalized convexity and generalized monotonicity
Nonsmooth Analysis
Vectorial Optimization
Fixed point theory, minimax, existence theorems for variational inequalities
Mathematical foundations of Quantum Mechanics

Organizer and co-organizer of International Conferences

2nd International Conference on Nonlinear Analysis and Optimization
May 13-15, 2009, Isfahan, Iran

International Conference on Nonlinear Analysis and Optimization
April 25-27, 2007, Isfahan, Iran
Proceedings published in Vol. 43 No.4 (2009) of the Journal of Global Optimization (Issue editors: N. Hadjisavvas, M. Thera and J. Zafarani).

8th International Symposium on Generalized Convexity and Generalized Monotonicity
July 4-8, 2005, Varese, Italy
Proceedings published by Springer (Eds: I. Konnov, D.T. Luc and A. Rubinov).

7th International Symposium on Generalized Convexity and Generalized Monotonicity
August 27-31, 2002, Hanoi, Vietnam
Proceedings published by Springer (Eds: A. Eberhard, N. Hadjisavvas and D.T. Luc).

International Conference on Advances in Convex Analysis and Global Optimization
June 5-9, 2000   Pythagorion,  Samos, Greece

Proceedings published by Kluwer Academic Publishers (Eds: N. Hadjisavvas and P. Pardalos).

6th International Symposium on Generalized Convexity/Monotonicity
August 30 - September 3, 1999   Karlovassi, Samos, Greece
Proceedings published by Springer-Verlag (Eds: N. Hadjisavvas, J.-E. Martinez-Legaz and J.-P. Penot).

Summer School on Generalized Convexity/Monotonicity
August 25-28, 1999   Karlovassi, Samos, Greece.

2nd Samos meeting on Cosmology, Geometry and Relativity
August 31 - September 4, 1998   Pythagorion, Samos, Greece
Proceedings published by Springer-Verlag.

International Conference on the Teaching of Mathematics
July 3-6, 1998   Pythagorion, Samos, Greece
Proceedings published by John Wiley and Sons, Inc.

Research papers in Journals
 

1. N. Hadjisavvas: Etude de certaines consequences d' une interpretation subjective de la notion d' etat. Ann. Fond. Louis de Broglie, 3, 155-176 (1978).

2. N. Hadjisavvas and M. Mugur-Schachter: Unbounded measures on the closed subspaces of a Hilbert space. Lett. Nuovo Cim. 23, 439-443 (1978).

3. 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).

4. N. Hadjisavvas, F. Thieffine and M. Mugur-Schachter: Study of Piron's system of questions and propositions. Found. Phys. 10, 751 (1980).

5. N. Hadjisavvas: The Maximum Entropy Principle as a consequence of the principle of Laplace. J. Stat. Phys. 26, 807-815 (1981).

6. 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).

7. N. Hadjisavvas: Distance between states and statistical inference in Quantum Theory. Ann. Inst. Henri Poincare, 35, 287-309 (1981).

8. N. Hadjisavvas: Properties of mixtures of non-orthogonal states. Lett. Math. Phys. 5, 327-332 (1981).

9. N. Hadjisavvas, F. Thieffine and M. Mugur-Schachter: Critical remark on Jauch's Program. Lett. Nuovo Cim. 30, 530-532 (1981).

10. N. Hadjisavvas: On the "Hidden Variables" theory of A. Bach. Phys. Let. 82A, 107-108 (1982).

11. N. Hadjisavvas: On Cantoni's generalized transition probability. Comm. Math. Phys. 83, 43-48 (1982).

12. M. Mugur-Schachter, N. Hadjisavvas: The probabilistic-informational concept of an opacity functional. Kybernetes, 11, 189-183 (1982).

13. N. Hadjisavvas, A. K. Theophilou: A rigorous formulation of the Kohn and Sham theory. Phys. Rev. A30, 2183-2186 (1984).

14. N. Hadjisavvas, A. K. Theophilou: A rigorous formulation of the Slater's transition-state theory for excited states. Phys. Rev. A32, 720-724, (1985).

15. N. Hadjisavvas: Metrics on the set of states of a W*-algebra. Linear Algebra Appl. 84, 281-287 (1986).

16. N. Hadjisavvas, B. Nassopoulos and G. Pantelides: Uber die Existenz gemeinsamer Elemente bester Approximation bezueglich zweier Normen. Manuscr. Math. 58, 245-252 (1987).

17. 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).

18. 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).

19. N. Hadjisavvas, D. Kravvaritis, G. Pantelides, I. Polyrakis: Hereditary order convexity in L(X,Y). Rend. Circ. Mat. Palermo 38, 130-139 (1989).

20. N. Hadjisavvas, D. Kravvaritis, G. Pantelides: Structural properties of nonlinear monotone Operators with values in L(X,Y). Serdica 16, 246-248 (1990).

21. 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)).

22. 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).

23. N. Hadjisavvas, S. Schaible: Quasimonotone Variational Inequalities in Banach Spaces. J. Optim. Theory Appl. 90, 95-111 (1996).

24. A. Daniilidis, N. Hadjisavvas: Existence Theorems for Vector Variational Inequalities. Bull. Austral. Math. Soc. 54, 473-481 (1996).

25.  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).

26. M. Bianchi, N. Hadjisavvas and S. Schaible: Vector Equilibrium Problems with Generalized Monotone Bifunctions. J. Optim. Theory Appl. 92, 527-542 (1997).

27. N. Hadjisavvas, S. Schaible: From Scalar to Vector Equilibrium Problems in the Quasimonotone Case. J. Optim. Theory Appl. Vol. 96, 297-309 (1998).

28. A. Daniilidis and N. Hadjisavvas: Coercivity Conditions and Variational Inequalities. Math. Programming 86, 433-438 (1999).

29. A. Daniilidis and N. Hadjisavvas: Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions. J. Optim. Theory Appl. 102, 525-536 (1999).

30. A. Daniilidis and N. Hadjisavvas: On the Subdifferentials of Pseudoconvex and Quasiconvex functions and Cyclic Monotonicity. J. Math. Anal. Appl. 237, 30-42 (1999).

31. A. Daniilidis amd N. Hadjisavvas: On generalized cyclically monotone operators and proper quasimonotonicity. Optimization 47, 123-135 (2000).

32. A. Daniilidis, N. Hadjisavvas and J.E. Martinez-Legaz: An appropriate subdifferential for quasiconvex functions, SIAM J. Optim. 12, 407-420 (2001).

33. N. Hadjisavvas: The Use of Subdifferentials for studying Generalized Convex Functions, J. Stat. Manag. Syst. 5, 125-139 (2002).

34. 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).

35. 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)

36. N. Hadjisavvas: Continuity and maximality properties of pseudomonotone operators, J. Convex Anal. vol. 10, 465-475 (2003).

37. 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/.

38. 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 at http://www.springerlink.com/content/1573-2878/.

39. 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.

40. 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/.

41. 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). Final version. The original publication is available at http://www.tandf.co.uk/journals/titles/02331934.html.

42. 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.

43. 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.

44. 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/.

45. 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/.

46. 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/.

47. 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 at http://www.siam.org/journals/siopt.php.

48. N. Hadjisavvas and H. Khatibzadeh, Maximal monotonicity of bifunctions, Optimization 59, 147-160 (2010). Final version. The original publication is available at the site of Optimization.

49. 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.

50. N. Hadjisavvas and D.T. Luc, Second-order asymptotic directions of unbounded sets with application to optimization, J. Convex Analysis 18 (2011) (to appear).

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

Books

1.  D. Kravvaritis, G. Pantelidis, N. Hadjisavvas: Ordinary Differential Equations (in Greek). Ziti Publications, 1990, Thessaloniki (Textbook).

2.  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.

3.  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.

4.  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.

5.  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.

6.  N. 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.

Other Publications
 

1. 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.

2. 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.

3. 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).

4. 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.

5. 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.

6. 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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