메뉴 건너뛰기




Volumn 2, Issue 1, 2008, Pages 71-90

On general infinite dimensional complementarity problems

Author keywords

Assumption (S); Continuous traffic network equilibrium problem; Generalized complementarity problem; Lagrange function; Optimality conditions; Quasi relative interior; Random equilibrium problems

Indexed keywords

LAGRANGE MULTIPLIERS; LINEAR MATRIX INEQUALITIES; OPTIMIZATION; STATE SPACE METHODS;

EID: 35448990913     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-007-0044-7     Document Type: Article
Times cited : (33)

References (23)
  • 2
    • 0001936864 scopus 로고
    • Variational inequalities, complementary probems, and duality theorems
    • Allen G. (1977). Variational inequalities, complementary probems and duality theorems. J. Math. Anal. Appl. 58: 1-10
    • (1977) J. Math. Anal. Appl. , vol.58 , pp. 1-10
    • Allen, G.1
  • 3
    • 0000034358 scopus 로고
    • From optimization and variational inequalities to equilibrium problems
    • Blum E. and Oettli W. (1994). From optimization and variational inequalities to equilibrium problems. Math. Stud. 63: 123-145
    • (1994) Math. Stud. , vol.63 , pp. 123-145
    • Blum, E.1    Oettli, W.2
  • 4
    • 0026867929 scopus 로고
    • Partially finite convex programming, part I: Quasi relative interiors and duality theory
    • Borwein J.M. and Lewis A.S. (1992). Partially finite convex programming, part I: quasi relative interiors and duality theory. Math. Program. 57: 15-48
    • (1992) Math. Program. , vol.57 , pp. 15-48
    • Borwein, J.M.1    Lewis, A.S.2
  • 5
    • 33644701385 scopus 로고    scopus 로고
    • Projected dynamical systems and evolutionary (time-dependent) variational inequalities via Hilbert spaces with applications
    • 3
    • Cojocaru M.G., Daniele P. and Nagurney A. (2005). Projected dynamical systems and evolutionary (time-dependent) variational inequalities via Hilbert spaces with applications. J. Optim. Theory Appl. 27(3): 1-15
    • (2005) J. Optim. Theory Appl. , vol.27 , pp. 1-15
    • Cojocaru, M.G.1    Daniele, P.2    Nagurney, A.3
  • 6
    • 33749131709 scopus 로고    scopus 로고
    • Double-layered dynamics: Unifed theory of projected dynamical systems and evolutionary variational inequalities
    • 1
    • Cojocaru M.G., Daniele P. and Nagurney A. (2006). Double-layered dynamics: unifed theory of projected dynamical systems and evolutionary variational inequalities. Eur. J. Oper. Res. 175(1): 494-507
    • (2006) Eur. J. Oper. Res. , vol.175 , pp. 494-507
    • Cojocaru, M.G.1    Daniele, P.2    Nagurney, A.3
  • 8
    • 34249061432 scopus 로고    scopus 로고
    • General infinite dimensional duality and applications to evolutionary network equilibrium problems
    • Daniele, P., Giuffrè, S.: General infinite dimensional duality and applications to evolutionary network equilibrium problems. Optim. Lett.
    • Optim. Lett.
    • Daniele, P.1    Giuffrè, S.2
  • 9
    • 0037241542 scopus 로고    scopus 로고
    • Variational inequalities and the continuum model of transportation problem
    • Doniele P., Idone G. and Maugeri A. (2003). Variational inequalities and the continuum model of transportation problem. Int. J. Nonlinear Sci. Numer. Simul. 4: 11-16
    • (2003) Int. J. Nonlinear Sci. Numer. Simul. , vol.4 , pp. 11-16
    • Doniele, P.1    Idone, G.2    Maugeri, A.3
  • 10
    • 0011750880 scopus 로고
    • Introduction to stochastic programming
    • Stochastic programming, Oxford
    • Dempster, M.A.H.: Introduction to stochastic programming. Stochastic programming. In: Proceedings of the International Conference, Oxford, pp. 3-59 (1980)
    • (1980) Proceedings of the International Conference , pp. 3-59
    • Dempster, M.A.H.1
  • 11
    • 0023413099 scopus 로고
    • Approximating some convex programs in terms of Borel fields
    • Flam S.D. (1987). Approximating some convex programs in terms of Borel fields. Math. Program. Study 31: 73-78
    • (1987) Math. Program. Study , vol.31 , pp. 73-78
    • Flam, S.D.1
  • 12
    • 28044442728 scopus 로고    scopus 로고
    • Duality theory and optimality conditions for generalized complementarity problems
    • Giuffrè S., Idone G. and Maugeri A. (2005). Duality theory and optimality conditions for generalized complementarity problems. Nonlinear Anal. 63: 1655-1664
    • (2005) Nonlinear Anal. , vol.63 , pp. 1655-1664
    • Giuffrè, S.1    Idone, G.2    Maugeri, A.3
  • 13
    • 0031060748 scopus 로고    scopus 로고
    • On random variational inequalities
    • Ganguly A. and Wadhwa K. (1997). On random variational inequalities. J. Math. Anal. Appl. 206: 315-321
    • (1997) J. Math. Anal. Appl. , vol.206 , pp. 315-321
    • Ganguly, A.1    Wadhwa, K.2
  • 14
    • 33746804159 scopus 로고    scopus 로고
    • On a class of random variational inequalities on random sets
    • 5-6
    • Gwinner J. and Raciti F. (2006). On a class of random variational inequalities on random sets. Numer. Funct. Anal. optim. 27(5-6): 619-636
    • (2006) Numer. Funct. Anal. Optim. , vol.27 , pp. 619-636
    • Gwinner, J.1    Raciti, F.2
  • 15
    • 0007954921 scopus 로고    scopus 로고
    • Sample-path solution of stochastic variational inequalities
    • Gürkan G., Özge A.Y. and Robinson S.M. (1999). Sample-path solution of stochastic variational inequalities. Math. Program. 84: 313-333
    • (1999) Math. Program. , vol.84 , pp. 313-333
    • Gürkan, G.1    Özge, A.Y.2    Robinson, S.M.3
  • 16
    • 0000798811 scopus 로고
    • Existence theory for generalized nonlinear complementarity problems
    • Habetler G.J. and Price A.L. (1971). Existence theory for generalized nonlinear complementarity problems. J. Optim. Theory Appl. 7: 223-239
    • (1971) J. Optim. Theory Appl. , vol.7 , pp. 223-239
    • Habetler, G.J.1    Price, A.L.2
  • 17
    • 0942277400 scopus 로고    scopus 로고
    • Variational inequalities and applications to a continuum model of transportation network with capacity constraints
    • Idone G. (2004). Variational inequalities and applications to a continuum model of transportation network with capacity constraints. J. Global Optim. 28: 45-53
    • (2004) J. Global Optim. , vol.28 , pp. 45-53
    • Idone, G.1
  • 18
    • 0942277400 scopus 로고    scopus 로고
    • Variational inequalities and a transport planning for an elastic and continuum model
    • Idone G. and Maugeri A. (2004). Variational inequalities and a transport planning for an elastic and continuum model. J. Ind. Manag. Optim. 28: 45-53
    • (2004) J. Ind. Manag. Optim. , vol.28 , pp. 45-53
    • Idone, G.1    Maugeri, A.2
  • 19
    • 84974510015 scopus 로고
    • Fixed point theory and complementarity problems in Hilbert space
    • Isac G. (1987). Fixed point theory and complementarity problems in Hilbert space. Bull. Aust. Math. Soc. 36: 295-310
    • (1987) Bull. Aust. Math. Soc. , vol.36 , pp. 295-310
    • Isac, G.1
  • 22
    • 0000203442 scopus 로고
    • On general nonlinear complementarity problems and quasi-equilibria
    • Noor M.A. and Oettli W. (1994). On general nonlinear complementarity problems and quasi-equilibria. Le Matematiche 49: 313-331
    • (1994) Le Matematiche , vol.49 , pp. 313-331
    • Noor, M.A.1    Oettli, W.2
  • 23
    • 0016990201 scopus 로고
    • Extension of the generalized complementarity problem
    • Saigal R. (1976). Extension of the generalized complementarity problem. Math. Oper. Res. 1: 260-266
    • (1976) Math. Oper. Res. , vol.1 , pp. 260-266
    • Saigal, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.