My papers
This is the list of my papers
Lucchetti, Roberto; Radrizzani, Paola; Munarini, Emanuele A new family of regular semivalues and applications. Internat. J. Game Theory 40 (2011), no. 4, 655–675
Corvellec, Jean-Noël; Lucchetti, Roberto A note on well-posed problems. Mediterr. J. Math. 8 (2011), no. 2, 181–189
Lucchetti, Roberto; Moretti, Stefano; Patrone, Fioravante; Radrizzani, Paola The Shapley and Banzhaf values in microarray games. Comput. Oper. Res. 37 (2010), no. 8, 1406–1412
Lucchetti, Roberto; Radrizzani, Paola; Villa, Silvia Generic well posedness in linear programming. Pac. J. Optim. 4 (2008), no. 3, 513–525
Caprari, Elisa; Lucchetti, Roberto E. Two level games. Int. J. Math. Game Theory Algebra 15 (2006), no. 2, 187–196
Ioffe, A.; Lucchetti, R. E. Generic well-posedness in minimization problems. Abstr. Appl. Anal. 4 (2005), no. 4, 343–360
Ioffe, A.; Lucchetti, R. E. Typical convex program is very well posed. Math. Program. 104 (2005), no. 2-3, Ser. B, 483–499
Caprari, E.; Lucchetti, R. E. Well-posed saddle point problems. J. Nonlinear Convex Anal. 6 (2005), no. 2, 271–281
Lucchetti, R. E.; Miglierina, E. Stability for convex vector optimization problems. Optimization 53 (2004), no. 5-6, 517–528
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. Almost every convex or quadratic programming problem is well posed. Math. Oper. Res. 29 (2004), no. 2, 369–382
Lucchetti, R. E.; Revalski, J. P.; Théra, M. Critical points for vector-valued functions. Control Cybernet. 31 (2002), no. 3, 545–555
Degiovanni, Marco; Lucchetti, Roberto; Ribarska, Nadezhda Critical point theory for vector valued functions. J. Convex Anal. 9 (2002), no. 2, 415–428
Azé, D.; Corvellec, J.-N.; Lucchetti, R. E. Variational pairs and applications to stability in nonsmooth analysis. Nonlinear Anal. 49 (2002), no. 5, Ser. A: Theory Methods, 643–670
Ioffe, A. D.; Lucchetti, R. E.; Revalski, J. P. A variational principle for problems with functional constraints. SIAM J. Optim. 12 (2001), no. 2, 461–478
Ioffe, Alexander; Lucchetti, Roberto Generic existence, uniqueness and stability in optimization problems. Nonlinear optimization and related topics (Erice, 1998), 169–182, Appl. Optim., 36, Kluwer Acad. Publ., Dordrecht, 2000
Lewis, A. S.; Lucchetti, R. E. Nonsmooth duality, sandwich, and squeeze theorems. SIAM J. Control Optim. 38 (2000), no. 2, 613–626
Lucchetti, R.; Zolezzi, T. On well-posedness and stability analysis in optimization. Mathematical programming with data perturbations, 223–251, Lecture Notes in Pure and Appl. Math., 195, Dekker, New York, 1998
Kenderov, P. S.; Lucchetti, R. E. Generic well posedness of supinf problems. Bull. Austral. Math. Soc. 54 (1996), no. 1, 5–25
Azé, D.; Lucchetti, R. Stability of supporting and exposing elements of convex sets in Banach spaces. Well-posedness and stability of variational problems. Serdica Math. J. 22 (1996), no. 3, 205–228
Holá, Ľubica; Lucchetti, Roberto Polishness of weak topologies generated by gap and excess functionals. J. Convex Anal. 3 (1996), no. 2, 283–294
Conti, M.; Lucchetti, R. The minimax approach to the critical point theory. Recent developments in well-posed variational problems, 29–76, Math. Appl., 331, Kluwer Acad. Publ., Dordrecht, 1995
Lucchetti, R. Hypertopologies and applications. Recent developments in well-posed variational problems, 193–209, Math. Appl., 331, Kluwer Acad. Publ., Dordrecht, 1995
Holá, Lubica; Lucchetti, Roberto Equivalence among hypertopologies. Set-Valued Anal. 3 (1995), no. 4, 339–350
Lucchetti, Roberto; Pasquale, Angela A new approach to a hyperspace theory. J. Convex Anal. 1 (1994), no. 2, 173–193
Lucchetti, Roberto; Torre, Anna Classical set convergences and topologies. Set convergence in nonlinear analysis and optimization. Set-Valued Anal. 2 (1994), no. 1-2, 219–240
Lucchetti, Roberto; Salinetti, Gabriella; Wets, Roger J.-B. Uniform convergence of probability measures: topological criteria. J. Multivariate Anal. 51 (1994), no. 2, 252–264
Luc, Dinh The; Lucchetti, R.; Maliverti, C. Convergence of the efficient sets. Set convergence in nonlinear analysis and optimization. Set-Valued Anal. 2 (1994), no. 1-2, 207–218
Beer, Gerald; Lucchetti, Roberto Well-posed optimization problems and a new topology for the closed subsets of a metric space. Rocky Mountain J. Math. 23 (1993), no. 4, 1197–1220
Beer, Gerald; Lucchetti, Roberto Convergence of epigraphs and of sublevel sets. Set-Valued Anal. 1 (1993), no. 2, 159–183
Lucchetti, Roberto; Torre, Anna; Wets, Roger J.-B. A topology for the solid subsets of a topological space. Canad. Math. Bull. 36 (1993), no. 2, 197–208
Levi, S.; Lucchetti, R.; Pelant, J. On the infimum of the Hausdorff and Vietoris topologies. Proc. Amer. Math. Soc. 118 (1993), no. 3, 971–978
Lucchetti, Roberto; Wets, R. J.-B. Convergence of minima of integral functionals, with applications to optimal control and stochastic optimization. Statist. Decisions 11 (1993), no. 1, 69–84
Beer, Gerald; Lucchetti, Roberto Weak topologies for the closed subsets of a metrizable space. Trans. Amer. Math. Soc. 335 (1993), no. 2, 805–822
Beer, Gerald; Lucchetti, Roberto The epi-distance topology: continuity and stability results with applications to convex optimization problems. Math. Oper. Res. 17 (1992), no. 3, 715–726
Attouch, Hédy; Lucchetti, Roberto; Wets, Roger J.-B. The topology of the ρ-Hausdorff distance. Ann. Mat. Pura Appl. (4) 160 (1991), 303–320
Beer, Gerald; Lucchetti, Roberto Convex optimization and the epi-distance topology. Trans. Amer. Math. Soc. 327 (1991), no. 2, 795–813
Lucchetti, R.; Patrone, F.; Tijs, S.; Torre, A. Λ-transfer and Harsanyi NTU values: individual rationality, stability and degenerate solutions. Cahiers Centre Études Rech. Opér. 33 (1991), no. 1-2, 103–121
Lucchetti, R.; Malivert, C. Variational convergences and level sets multifunctions. Ricerche Mat. 38 (1989), no. 2, 223–237
Beer, G.; Lucchetti, R. Minima of quasi-convex functions. Optimization 20 (1989), no. 5, 581–596
Lucchetti, Roberto Stability in optimization. Serdica 15 (1989), no. 1, 34–48
Lucchetti, R.; Patrone, F.; Tijs, S. H.; Torre, A. Continuity properties of solution concepts for cooperative games. OR Spektrum 9 (1987), no. 2, 101–107
Lucchetti, R.; Papageorgiou, N. S.; Patrone, F. Convergence and approximation results for measurable multifunctions. Proc. Amer. Math. Soc. 100 (1987), no. 3, 551–556
Lucchetti, R.; Patrone, F.; Tijs, S. H. Determinateness of two-person games. Boll. Un. Mat. Ital. B (6) 5 (1986), no. 3, 907–924
Lucchetti, R.; Patrone, F. Closure and upper semicontinuity results in mathematical programming, Nash and economic equilibria. Optimization 17 (1986), no. 5, 619–628
Lucchetti, Roberto Convergence of sets and of projections. Boll. Un. Mat. Ital. C (6) 4 (1985), no. 1, 477–483
Lucchetti, Roberto On the continuity of the minima for a family of constrained optimization problems. Numer. Funct. Anal. Optim. 7 (1984/85), no. 4, 349–362
Lucchetti, R.; Patrone, F. Perturbations of Walrasian and efficient equilibria. Contributions to operations research and mathematical economics, Vol. I, 177–184, Methods Oper. Res., 51, Athenäum/Hain/Hanstein, Königstein, 1984
Lucchetti, R.; Patrone, F. Some properties of “well-posed” variational inequalities governed by linear operators. Numer. Funct. Anal. Optim. 5 (1982/83), no. 3, 349–361
Lucchetti, Roberto Some aspects of the connections between Hadamard and Tyhonov well-posedness of convex programs. Boll. Un. Mat. Ital. C (6) 1 (1982), no. 1, 337–345
Lucchetti, Roberto; Patrone, Fioravante Hadamard and Tyhonov well-posedness of a certain class of convex functions. J. Math. Anal. Appl. 88 (1982), no. 1, 204–215
Lucchetti, R.; Patrone, F. A characterization of Tyhonov well-posedness for minimum problems, with applications to variational inequalities. Numer. Funct. Anal. Optim. 3 (1981), no. 4, 461–476
Lucchetti, R.; Mignanego, F. Continuous dependence on the data in abstract control problems. J. Optim. Theory Appl. 34 (1981), no. 3, 425–444
Lucchetti, R.; Patrone, F. On Nemytskii’s operator and its application to the lower semicontinuity of integral functionals. Indiana Univ. Math. J. 29 (1980), no. 5, 703–713
Lucchetti, R.; Mignanego, F. Variational perturbations of the minimum effort problem. J. Optim. Theory Appl. 30 (1980), no. 3, 485–499
Lucchetti, Roberto; Patrone, Fioravante Sulla densità e genericità di alcuni problemi di minimo ben posti. (Italian) Boll. Un. Mat. Ital. B (5) 15 (1978), no. 1, 225–240