메뉴 건너뛰기




Volumn 211, Issue 1, 1997, Pages 30-48

Continuity properties of ∈-solutions for generalized parametric saddle point problems and application to hierarchical games

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; GRAPH THEORY; OPTIMIZATION; PROBLEM SOLVING; THEOREM PROVING; TOPOLOGY;

EID: 0031172965     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5362     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 84968468130 scopus 로고
    • A convergence theory for saddle functions
    • 1. H. Attouch and J. B. Wets, A convergence theory for saddle functions, Trans. Amer. Math. Soc. 280 (1983).
    • (1983) Trans. Amer. Math. Soc. , vol.280
    • Attouch, H.1    Wets, J.B.2
  • 2
    • 0003453924 scopus 로고
    • Systems & Control: Foundations & Applications, Birkhäuser, Basel
    • 2. J. P. Aubin and H. Frankowska, "Set-Valued Analysis," Systems & Control: Foundations & Applications, Birkhäuser, Basel, 1990.
    • (1990) Set-Valued Analysis
    • Aubin, J.P.1    Frankowska, H.2
  • 4
    • 0011033910 scopus 로고
    • Γ-convergenze multiple, convergenze di punti sella e di maxmin
    • 4. E. Cavazzuti, Γ-convergenze multiple, convergenze di punti sella e di maxmin, Boll. Un. Mat. Ital. B 1 (1982), 251-274.
    • (1982) Boll. Un. Mat. Ital. B , vol.1 , pp. 251-274
    • Cavazzuti, E.1
  • 5
    • 0001921292 scopus 로고
    • Well-posed saddle point problems
    • J. B. Hiriart-Urruty, W. Oettli, and J. Stoer, Eds., Dekker, New York
    • 5. E. Cavazzuti and J. Morgan, Well-posed saddle point problems, in "Optimization, Theory and Algorithms" (J. B. Hiriart-Urruty, W. Oettli, and J. Stoer, Eds.), pp. 61-76, Dekker, New York, 1983.
    • (1983) Optimization, Theory and Algorithms , pp. 61-76
    • Cavazzuti, E.1    Morgan, J.2
  • 6
    • 0001275132 scopus 로고
    • On one sided derivative of minmax and saddle points with respect to a parameter
    • 6. M. C. Delfour and J. Morgan, On one sided derivative of minmax and saddle points with respect to a parameter, Optimization 31 (1994), 343-358.
    • (1994) Optimization , vol.31 , pp. 343-358
    • Delfour, M.C.1    Morgan, J.2
  • 7
    • 38249021772 scopus 로고
    • Convergence of approximate saddle point
    • 7. J. Guillerme, Convergence of approximate saddle point, J. Math. Anal. Appl. 137 (1989), 297-311.
    • (1989) J. Math. Anal. Appl. , vol.137 , pp. 297-311
    • Guillerme, J.1
  • 8
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • 8. P. T. Harker and J. S. Pang, Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications, Math. Programming 48 (1990), 161-220.
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 9
    • 0003391813 scopus 로고
    • Academic Press, New York
    • 9. K. Kuratowski, "Topology," Academic Press, New York, 1966.
    • (1966) Topology
    • Kuratowski, K.1
  • 10
    • 0018060592 scopus 로고
    • On generalized Stackelberg strategies
    • 10. G. Leitmann, On generalized Stackelberg strategies, J. Optim. Theory Appl. 26 (1978).
    • (1978) J. Optim. Theory Appl. , vol.26
    • Leitmann, G.1
  • 11
    • 0010999021 scopus 로고
    • Existence and approximation for min-sup problems
    • G. Feichtinger, W. Buhler, F. J. Radermacher, and P. Stahly, Eds., Springer-Verlag, Berlin
    • 11. M. B. Lignola and J. Morgan, Existence and approximation for min-sup problems, in "Proceedings of the International Conference on Operation Research 90 in Vienna" (G. Feichtinger, W. Buhler, F. J. Radermacher, and P. Stahly, Eds.), pp. 157-164, Springer-Verlag, Berlin, 1992.
    • (1992) Proceedings of the International Conference on Operation Research 90 in Vienna , pp. 157-164
    • Lignola, M.B.1    Morgan, J.2
  • 12
    • 44349129724 scopus 로고
    • Semicontinuities of marginal functions in a sequential setting
    • 12. M. B. Lignola and J. Morgan, Semicontinuities of marginal functions in a sequential setting, Optimization 24 (1992), 307-318.
    • (1992) Optimization , vol.24 , pp. 307-318
    • Lignola, M.B.1    Morgan, J.2
  • 13
    • 21844516075 scopus 로고
    • Topological existence and stability for Stackelberg problems
    • 13. M. B. Lignola and J. Morgan, Topological existence and stability for Stackelberg problems, J. Optim. Theory Appl. 84 (1995), 145-169.
    • (1995) J. Optim. Theory Appl. , vol.84 , pp. 145-169
    • Lignola, M.B.1    Morgan, J.2
  • 14
    • 84963146296 scopus 로고
    • New results on approximate solutions in two-level optimization
    • 14. P. Loridan and J. Morgan, New results on approximate solutions in two-level optimization, Optimization 20 (1989), 819-836.
    • (1989) Optimization , vol.20 , pp. 819-836
    • Loridan, P.1    Morgan, J.2
  • 15
    • 0002149247 scopus 로고
    • On strict ∈-solutions for a two level optimization problem
    • W. Buhler, G. Feichtinger, F. Harti, F. J. Radermacher, and P. Stahly, Eds., Springer-Verlag, Berlin
    • 15. P. Loridan and J. Morgan, On strict ∈-solutions for a two level optimization problem, in "Proceedings of the International Conference on Operation Research 90 in Vienna" (W. Buhler, G. Feichtinger, F. Harti, F. J. Radermacher, and P. Stahly, Eds.), pp. 165-172, Springer-Verlag, Berlin, 1992.
    • (1992) Proceedings of the International Conference on Operation Research 90 in Vienna , pp. 165-172
    • Loridan, P.1    Morgan, J.2
  • 16
    • 0021520259 scopus 로고
    • A minimax theorem
    • 16. L. Mac-Linden, A minimax theorem, Math. Oper. Res. 9 (1984), 576-591.
    • (1984) Math. Oper. Res. , vol.9 , pp. 576-591
    • Mac-Linden, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.