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Volumn 7, Issue 2, 1997, Pages 519-526

Hadamard and strong well-posedness for convex programs

Author keywords

Attouch Wets convergence; Convex optimization problems; Well posed optimization problem

Indexed keywords


EID: 0031516713     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623495286776     Document Type: Article
Times cited : (36)

References (18)
  • 1
    • 84966251647 scopus 로고
    • Quantitative stability of variational systems
    • H. ATTOUCH AND R. WETS, Quantitative stability of variational systems, Trans. Amer. Math. Soc., 328 (1991), pp. 695-730.
    • (1991) Trans. Amer. Math. Soc. , vol.328 , pp. 695-730
    • Attouch, H.1    Wets, R.2
  • 2
    • 0003214410 scopus 로고
    • Topologies on closed and closed convex sets
    • Kluwer Academic Publishers, Dordrecht
    • G. BEER, Topologies on closed and closed convex sets, in Mathematics and its Applications, Vol. 268, Kluwer Academic Publishers, Dordrecht, 1993.
    • (1993) Mathematics and Its Applications , vol.268
    • Beer, G.1
  • 3
    • 0001046613 scopus 로고
    • Convex optimization and the epi-distance topology
    • G. BEER AND R. LUCCHETTI, Convex optimization and the epi-distance topology, Trans. Amer. Math. Soc., 327 (1991), pp. 795-813.
    • (1991) Trans. Amer. Math. Soc. , vol.327 , pp. 795-813
    • Beer, G.1    Lucchetti, R.2
  • 4
    • 0040348246 scopus 로고
    • Univ. Degli Studi di Milano, Dipartimento di Mat., Quaderno n.3, preprint
    • G. BEER AND R. LUCCHETTI, Solvability for constrained problems, Univ. Degli Studi di Milano, Dipartimento di Mat., Quaderno n.3, 1991, preprint.
    • (1991) Solvability for Constrained Problems
    • Beer, G.1    Lucchetti, R.2
  • 5
    • 0000508849 scopus 로고
    • The epi-distance topology: Continuity and stability results with application to convex optimization problems
    • G. BEER AND R. LUCCHETTI, The epi-distance topology: Continuity and stability results with application to convex optimization problems, Math. Oper. Res., 17 (1992), pp. 715-726.
    • (1992) Math. Oper. Res. , vol.17 , pp. 715-726
    • Beer, G.1    Lucchetti, R.2
  • 6
    • 0003201683 scopus 로고
    • Well-posed optimization problems
    • Springer-Verlag, Berlin, New York
    • A. L. DONTCHEV AND T. ZOLEZZI, Well-posed Optimization Problems, in Lecture Notes in Mathematics, Vol. 1543, Springer-Verlag, Berlin, New York, 1993.
    • (1993) Lecture Notes in Mathematics , vol.1543
    • Dontchev, A.L.1    Zolezzi, T.2
  • 7
    • 84972948283 scopus 로고
    • Constrained convex optimization problems - Well-posedness and stability
    • A. S. KONSULOVA AND J. P. REVALSKI, Constrained convex optimization problems - well-posedness and stability, Numer. Funct. Anal. Optim., 15 (1994), pp. 889-907.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 889-907
    • Konsulova, A.S.1    Revalski, J.P.2
  • 8
    • 0001671709 scopus 로고
    • Convergence of minimizing sequences in conditional extremum problems
    • E. S. LEVITIN AND B. T. POLYAK, Convergence of minimizing sequences in conditional extremum problems, Soviet Math. Dokl., 7 (1966), pp. 764-767.
    • (1966) Soviet Math. Dokl. , vol.7 , pp. 764-767
    • Levitin, E.S.1    Polyak, B.T.2
  • 9
    • 0011304025 scopus 로고
    • Some aspects of the connection between Hadamard and Tykhonov well-posedness of convex problems
    • R. LUCCHETTI, Some aspects of the connection between Hadamard and Tykhonov well-posedness of convex problems, Boll. Un. Mat. Ital. C, 6 (1982), pp. 337-345.
    • (1982) Boll. Un. Mat. Ital. C , vol.6 , pp. 337-345
    • Lucchetti, R.1
  • 10
    • 0019666991 scopus 로고
    • A characterization of Tykhonov well-posedness for minimum problems, with applications to vanational inequalities
    • R. LUCCHETTI AND F. PATRONE, A characterization of Tykhonov well-posedness for minimum problems, with applications to vanational inequalities, Numer. Funct. Anal. Optim., 3 (1981), pp. 461-476.
    • (1981) Numer. Funct. Anal. Optim. , vol.3 , pp. 461-476
    • Lucchetti, R.1    Patrone, F.2
  • 11
    • 0011310082 scopus 로고
    • Hadamard and Tykhonov well-posedness of a certain class of convex functions
    • R. LUCCHETTI AND F. PATRONE, Hadamard and Tykhonov well-posedness of a certain class of convex functions, J. Math. Anal. Appl., 88 (1982), pp. 204-215.
    • (1982) J. Math. Anal. Appl. , vol.88 , pp. 204-215
    • Lucchetti, R.1    Patrone, F.2
  • 12
    • 0010762740 scopus 로고
    • Recent developments in well-posed vanational problems
    • Kluwer Academic Publishers, Dordrecht
    • R. LUCCHETTI AND J. P. REVALSKI, EDS., Recent developments in well-posed vanational problems, in Mathematics and its Applications, Vol. 331, Kluwer Academic Publishers, Dordrecht, 1995.
    • (1995) Mathematics and Its Applications , vol.331
    • Lucchetti, R.1    Revalski, J.P.2
  • 13
    • 0010671416 scopus 로고
    • Convergence of convex sets and of solutions of variational inequalities
    • U. Mosco, Convergence of convex sets and of solutions of variational inequalities, Adv. Math., 3 (1969), pp. 510-585.
    • (1969) Adv. Math. , vol.3 , pp. 510-585
    • Mosco, U.1
  • 14
    • 0010000591 scopus 로고
    • Generic properties concerning well-posed optimization problems
    • J. P. REVALSKI, Generic properties concerning well-posed optimization problems, Compt. Rend. Acad. Bulg. Sci., 38 (1985), pp. 1431-1434.
    • (1985) Compt. Rend. Acad. Bulg. Sci. , vol.38 , pp. 1431-1434
    • Revalski, J.P.1
  • 15
    • 0000670331 scopus 로고
    • Generic well-posedness in some classes of optimization problems
    • J. P. REVALSKI, Generic well-posedness in some classes of optimization problems, Acta Univ. Carolin. Math. Phys., 28 (1987), pp. 117-125.
    • (1987) Acta Univ. Carolin. Math. Phys. , vol.28 , pp. 117-125
    • Revalski, J.P.1
  • 16
    • 0027311470 scopus 로고
    • Well-posed constrained optimization problems in metric spaces
    • J. P. REVALSKI AND N. V. ZHIVKOV, Well-posed constrained optimization problems in metric spaces, J. Optim. Theory Appl., 76 (1993), pp. 145-163.
    • (1993) J. Optim. Theory Appl. , vol.76 , pp. 145-163
    • Revalski, J.P.1    Zhivkov, N.V.2
  • 17
    • 29344458029 scopus 로고
    • Well-set and well-posed minimization problems
    • P. SHUNMUGARAJ, Well-set and well-posed minimization problems, Set-valued Anal., 3 (1995), pp. 295-305.
    • (1995) Set-valued Anal. , vol.3 , pp. 295-305
    • Shunmugaraj, P.1
  • 18
    • 0011328467 scopus 로고
    • On the stability of the functional optimization problem
    • A. N. TYKHONOV, On the stability of the functional optimization problem, U.S.S.R. Comput. Math. and Math. Phys., 6 (4) (1966), pp. 28-33.
    • (1966) U.S.S.R. Comput. Math. and Math. Phys. , vol.6 , Issue.4 , pp. 28-33
    • Tykhonov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.