메뉴 건너뛰기




Volumn 10, Issue 1, 1999, Pages 82-98

Stability and well-posedness in linear semi-infinite programming

Author keywords

Feasible set mapping; Hadamard well posedness; Optimal set mapping; Optimal value function; Semi infinite programming; Stability

Indexed keywords


EID: 0040809622     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623497319869     Document Type: Article
Times cited : (45)

References (19)
  • 2
    • 0021446373 scopus 로고
    • Parametric semi-infinite linear programming I. Continuity of the feasible set and of the optimal value
    • B. BROSOWSKI, Parametric semi-infinite linear programming I. Continuity of the feasible set and of the optimal value, Math. Programming Stud., 21 (1984), pp. 18-42.
    • (1984) Math. Programming Stud. , vol.21 , pp. 18-42
    • Brosowski, B.1
  • 5
    • 0012692794 scopus 로고
    • Contributions to semi-infinite linear optimization
    • B. Brosowski and E. Martensen, eds., Verlag Peter Lang, Frankfurt-Am-Main, Germany
    • T. FISCHER, Contributions to semi-infinite linear optimization, in Approximation and Optimization in Mathematical Physics, B. Brosowski and E. Martensen, eds., Verlag Peter Lang, Frankfurt-Am-Main, Germany, 1983, pp. 175-199.
    • (1983) Approximation and Optimization in Mathematical Physics , pp. 175-199
    • Fischer, T.1
  • 6
    • 0040519331 scopus 로고    scopus 로고
    • Topological stability of linear semi-infinite inequality system
    • M. A. GOBERNA AND M. A. LÓPEZ, Topological stability of linear semi-infinite inequality system, J. Optim. Theory Appl., 89 (1996), pp. 227-236.
    • (1996) J. Optim. Theory Appl. , vol.89 , pp. 227-236
    • Goberna, M.A.1    López, M.A.2
  • 8
    • 0031285684 scopus 로고    scopus 로고
    • Stability theory for linear inequality systems II: Upper semicontinuity of the solution set mapping
    • M. A. GOBERNA, M. A. LÓPEZ, AND M. I. TODOROV, Stability theory for linear inequality systems II: Upper semicontinuity of the solution set mapping, SIAM J. Optim., 7 (1997), pp. 1138-1151.
    • (1997) SIAM J. Optim. , vol.7 , pp. 1138-1151
    • Goberna, M.A.1    López, M.A.2    Todorov, M.I.3
  • 9
    • 0012704639 scopus 로고
    • Metric regularity of the feasible set mapping in semi-infimte optimization
    • R. HENRION AND D. KLATTE, Metric regularity of the feasible set mapping in semi-infimte optimization, Appl. Math. Optim., 30 (1994), pp. 103-109.
    • (1994) Appl. Math. Optim. , vol.30 , pp. 103-109
    • Henrion, R.1    Klatte, D.2
  • 10
    • 0001501456 scopus 로고
    • On equivalent stability properties in semi-infinite optimization
    • M. A. JIMÉNEZ AND J. J. RÜCKMANN, On equivalent stability properties in semi-infinite optimization, Z. Oper. Res., 41 (1995), pp. 175-190.
    • (1995) Z. Oper. Res. , vol.41 , pp. 175-190
    • Jiménez, M.A.1    Rückmann, J.J.2
  • 11
    • 0026835377 scopus 로고
    • Semi-infinite optimization: Structure and stability of the feasible set
    • H. TH. JONGEN, F. TWILT, AND G. W. WEBER, Semi-infinite optimization: Structure and stability of the feasible set, J. Optim. Theory Appl., 72 (1992), pp. 529-552.
    • (1992) J. Optim. Theory Appl. , vol.72 , pp. 529-552
    • Jongen, H.Th.1    Twilt, F.2    Weber, G.W.3
  • 12
    • 0001004636 scopus 로고
    • One-parametric semi-infinite optimization: On the stability of the feasible set
    • H. TH. JONGEN, J.-J. RÜCKMANN, AND G.-W. WEBER, One-parametric semi-infinite optimization: On the stability of the feasible set, SIAM J. Optim., 4 (1994), pp. 637-48.
    • (1994) SIAM J. Optim. , vol.4 , pp. 637-648
    • Jongen, H.Th.1    Rückmann, J.-J.2    Weber, G.-W.3
  • 13
    • 0012696445 scopus 로고
    • Stable local minimizers in semi-infinite optimization: Regularity and second-order conditions
    • D. KLATTE, Stable local minimizers in semi-infinite optimization: Regularity and second-order conditions, J. Comput. Appl. Math., 56 (1994), pp. 137-57.
    • (1994) J. Comput. Appl. Math. , vol.56 , pp. 137-157
    • Klatte, D.1
  • 14
    • 0016567932 scopus 로고
    • Stability theory for systems of inequalities. Part I: Linear systems
    • S. M. ROBINSON, Stability theory for systems of inequalities. Part I: Linear systems, SIAM J. Numer. Anal., 12 (1975), pp. 754-769.
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 754-769
    • Robinson, S.M.1
  • 17
    • 0022291267 scopus 로고
    • Generic existence and uniqueness of the solution set to linear semi-infinite optimization problems
    • M. I. TODOROV, Generic existence and uniqueness of the solution set to linear semi-infinite optimization problems, Numer. Funct. Anal. Optim., 8 (1985/1986), pp. 27-39.
    • (1985) Numer. Funct. Anal. Optim. , vol.8 , pp. 27-39
    • Todorov, M.I.1
  • 18
    • 0010759059 scopus 로고
    • Stability property of a system of inequalities
    • H. TUY, Stability property of a system of inequalities, Math. Oper. Statist. Ser. Opt., 8 (1977), pp. 27-39.
    • (1977) Math. Oper. Statist. Ser. Opt. , vol.8 , pp. 27-39
    • Tuy, H.1
  • 19
    • 0001793982 scopus 로고
    • Generalizations of some fundamental theorems on linear inequalities
    • Y. J. ZHU, Generalizations of some fundamental theorems on linear inequalities, Acta Math. Sinica, 16 (1966), pp. 25-40.
    • (1966) Acta Math. Sinica , vol.16 , pp. 25-40
    • Zhu, Y.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.