Publications

PUBLISHED PAPERS

1. A modified Michael's selection theorem with application to generalized Nash equilibrium problem, J. Optim. Theory Appl., 196 (2023) 199-211 (with M. Giuli).
2. A generalized Ky Fan minimax inequality on finite dimensional spaces, J. Optim. Theory Appl., 190 (2021) 343-357 (with M. Giuli).
3. Mathematical justification of a generalized equilibrium problem, J. Nonlinear Var. Anal., 5 (2021) 421-427 (with M. Giuli).
4. Existence results for a wide class of equilibrium problems: A general scheme, J. Nonlinear Convex Anal., 21 (2020) 1219-1224 (with M. Giuli and M. Pappalardo).
5. Existence of quasiequilibria in metric vector spaces, J. Math. Anal. Appl., 484 (2020), no. 1, 123751, 13 pp. (with M. Giuli).
6. A coercivity condition for nonmonotone quasiequilibria on finite-dimensional space, J. Global Optim., 75 (2019) 163-176 (with M. Giuli).
7. A Ky Fan minimax inequality for quasiequilibria on finite-dimensional spaces, J. Optim. Theory Appl., 179 (2018) 53-64 (with M. Giuli and M. Pappalardo).
8. Approximate solutions of quasiequilibrium problems in Banach spaces, J. Global Optim., 64 (2016) 615-620 (with M. Giuli).
9. Stability and existence results for quasimonotone quasivariational inequalities in finite dimensional spaces, Appl. Math. Optim., 73 (2016) 137-152 (with M. Giuli).
10. Ekeland's principle for cyclically antimonotone equilibrium problems, Nonlinear Anal. Real World Appl., 32 (2016) 213-228 (with M. Giuli).
11. An existence result for quasiequilibrium problems in separable Banach spaces, J. Math. Anal. Appl., 425 (2015) 85-95 (with M. Giuli).
12. Local cone approximations in mathematical programming, Optimization, 64 (2015) 1669--1681 (with M. Giuli, S. Nobakhtian and M. Pappalardo).
13. Refinements of existence results for relaxed quasimonotone equilibrium problems, J. Global Optim., 57 (2013) 1213--1227 (with M. Giuli).
14. Pseudomonotone diagonal subdifferential operators, J. Convex Anal., 20 (2013) 1-12 (with M. Giuli).
15. Existence and solution methods for equilibra, European J. Oper. Res., 227 (2013) 1-11 (with G. Bigi, M. Pappalardo and M. Passacantando).
16. A characterization of the solution set of pseudoconvex extremum problems, J. Convex Anal., 9 (2012) 113-123 (with M. Giuli).
17. Recent advances on equilibrium problems, in Recent advances in nonlinear optimization and equilibrium problems: a tribute to Marco D'Apuzzo, V. De Simone et al. (eds), Quaderni di Matematica, Dipartimento di Matematica della Seconda Università di Napoli, Aracne editrice, (2012) 41-65 (with G. Bigi, M. Giuli, B. Panicucci, M. Pappalardo and M. Passacantando).
18. Directional K-epiderivatives and error bound, Optimization, 60 (2011) 201-210 (with M. Pappalardo).
19. Existence results for nonconvex equilibrium problems, Optim. Methods Softw., 25 (2010) 49-58 (with M. Pappalardo and M. Passacantando).
20. On the mean value theorem for semidifferentiable functions, J. Global Optim., 46 (2010) 503-508 (with M. Pappalardo).
21. On equivalent equilibrium problems, J. Optim. Theory Appl., 147 (2010) 157-168 (with M. Giuli).
22. A new solution method for equilibrium problems, Optim. Methods Softw., 24 (2009) 895-911 (with G. Bigi and M. Pappalardo).
23. On paramonotone and pseudomonotone* maps, in Recent Developments on Mathematical Programming and Applications, L. Carosi and L. Martein (eds), Aracne editrice, (2009) 41-55 (with M. Giuli).
24. Gap functions for nonsmooth equilibrium problems, Taiwanese J. Math., 13 (2009) 1837-1846 (with M. Pappalardo).
25. A dual view of equilibrium problems, J. Math. Anal. Appl., 342 (2008) 17-26 (with G. Bigi and G. Kassay).
26. On constraint qualifications in nonlinear programming, Nonlinear Anal., 69 (2008) 3249-3258.
27. The axiomatic bargaining problem: a brief survey, in Recent Developments on Applied Mathematics, L. Carosi and L. Martein (eds), Aracne editrice, (2007) 25-44 (with M. Giuli).
28. Local cone approximations in optimization, Control Cybernet., 36 (2007) 583-600 (with M. Pappalardo).
29. Predicting excess return in dividend models under heterogeneous trading and learning: a diffusive approach, Finance Letters, 3 (2005) 12-16 (with M. Giuli).
30. Uniqueness of KKT multipliers in multiobjective programming, Appl. Math. Lett., 17 (2004), 1285-1290 (with G. Bigi).
31. A mean value theorem for K-directional epiderivatives, in Recent Advances in Optimization, G.P. Crespi et al. (eds), Datanova Editrice, (2003) 21-34 (with A. D'Ottavio and M. Giuli).
32. K-epiderivatives for set-valued functions and optimization, Math. Methods Oper. Res., 55 (2002) 401-412 (with G. Bigi).
33. Dual representations for positively homogeneous functions: an application to constrained extremum problems, in Optimization in Economics, Finance and Industry, G.P. Crespi et al. (eds), Datanova Editrice, (2002) 129-144 (with A. Uderzo).
34. Nonsmooth invex functions and sufficient optimality conditions, J. Math. Anal. Appl., 255 (2001) 319-332.
35. About a gap between multiobjective and scalar optimization, J. Optim. Theory Appl., 109 (2001) 437-439 (with M. Pappalardo).
36. A dual representations for proper positively homogeneous functions, J. Global Optim., 16 (2000) 393-400.
37. Dual representations of classes of positively homogeneous functions; in Quasidifferentiability and Related Topics, V.F. Demyanov and A. Rubinov (eds), Kluwer Academic Publishers, (2000) 73-84.
38. Second order optimality conditions for differentiable multiobjective problems, RAIRO Oper. Res., 34 (2000) 411-426 (with G. Bigi).
39. A unifying approach for higher-order optimality conditions, Commun. Appl. Anal., 3 (1999) 15-28 (with M. Pappalardo).
40. Error bounds for set-valued maps, in Generalized Convexity and Optimization for Economic and Financial Decisions, G. Giorgi and F. Rossi (eds), Pitagora Editrice, (1999) 121-135.
41. Higher-order necessary optimality conditions for a nonsmooth extremum problem,  J. Appl. Anal., 4 (1998) 245-258.
42. Characterizations of ρ-convex functions, in Generalized Convexity, Generalized Monotonicity: Recent Results, J.P. Crouzeix et al. (eds), Kluwer Academic Publishers, (1998) 219-233 (with M. Pappalardo).
43. Separation of sets, Lagrange multipliers and totally regular extremum problems, J. Optim. Theory Appl., 92 (1997) 249-261 (with G. Mastroeni and M. Pappalardo).
44. Separation of sets and optimality conditions, Rend. Circ. Mat. Palermo (2), 48 (1997) 27-38.
45. Duality relations for variational inequalities with applications to network flows, Rend. Circ. Mat. Palermo (2), 48 (1997) 39-56 (with J.M. Jama and G. Mastroeni).
46. Local second-order approximations and applications in optimization, Optimization, 37 (1996) 305-321 (with M. Pappalardo).
47. On regularity for generalized systems and applications, in Nonlinear Optimization and Applications, G. Di Pillo and F. Giannessi (eds), Plenum Publishing Co., (1996) 13-26 (with G. Mastroeni and M. Pappalardo).
48. A necessary second-order optimality condition in nonsmooth mathematical programming, Oper. Res. Lett., 19 (1996) 79-86.
49. On the duality theory for finite dimensional variational inequalities, in Variational Inequalities and Network Equilibrium Problems, F. Giannessi and A. Maugeri (eds), Plenum Publishing Co., (1995) 21-31 (with G. Mastroeni).
50. First order cone approximations and necessary optimality conditions, Optimization, 35 (1995) 113-126 (with M. Pappalardo).
51. Variational sets and necessary optimality conditions in nonsmooth optimization, Matematiche, XLIX (1994) 189-203.

IN PRESS

1. Projected solutions for finite dimensional equilibrium problems, Comput. Manag. Sci. (with M. Giuli and S. Latini).
2. New criteria for existence of solutions for equilibrium problems, Comput. Manag. Sci. (with M. Balaj and M. Giuli).

SUBMITTED PAPERS

1. A continuity result for the adjusted normal cone operator, arXiv, 2301.11957 (with M. Giuli).
2. Projected solutions of generalized quasivariational problems in Banach spaces, Nonlinear Anal. Real World Appl. (with M. Giuli, M. Milasi and D. Scopelliti).

BOOKS

1. Nonlinear Programming Techniques for Equilibria, EURO Advanced Tutorials on Operational Research, Springer 2019 (with G. Bigi, M. Pappalardo, M. Passacantando).