메뉴 건너뛰기




Volumn 201, Issue 2, 1996, Pages 609-630

Perturbed algorithms and sensitivity analysis for a general class of variational inclusions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030585926     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0277     Document Type: Article
Times cited : (175)

References (33)
  • 2
    • 0003513119 scopus 로고
    • Variational convergence for functions and operators
    • Pitman, London
    • 2. H. Attouch, Variational convergence for functions and operators, in "Appl. Math. Ser.," Pitman, London, 1974.
    • (1974) Appl. Math. Ser.
    • Attouch, H.1
  • 7
    • 34250257862 scopus 로고
    • Auxiliary problem principle and decomposition of optimization problems
    • 7. G. Cohen, Auxiliary problem principle and decomposition of optimization problems, J. Optim. Theory Appl. 32 (1980), 277-305.
    • (1980) J. Optim. Theory Appl. , vol.32 , pp. 277-305
    • Cohen, G.1
  • 8
    • 0024113095 scopus 로고
    • Auxiliary problem principle extended to variational inequalities
    • 8. G. Cohen, Auxiliary problem principle extended to variational inequalities, J. Optim. Theory Appl. 59 (1988), 325-333.
    • (1988) J. Optim. Theory Appl. , vol.59 , pp. 325-333
    • Cohen, G.1
  • 9
    • 0020748950 scopus 로고
    • An iterative scheme for variational inequalities
    • 9. S. Dafermos, An iterative scheme for variational inequalities, Math. Programming 26 (1983), 40-47.
    • (1983) Math. Programming , vol.26 , pp. 40-47
    • Dafermos, S.1
  • 10
    • 0001707277 scopus 로고
    • Sensitivity analysis in variational inequalities
    • 10. S. Dafermos, Sensitivity analysis in variational inequalities, Math. Oper. Res. 13 (1988), 421-434.
    • (1988) Math. Oper. Res. , vol.13 , pp. 421-434
    • Dafermos, S.1
  • 11
    • 0003117688 scopus 로고
    • Implicit complementarity problems and quasi-variational inequalities
    • R. Cottle, F. Giannessi, and J. Lions, Eds., New York/London
    • 11. I. C. Docetta and U. Mosco, Implicit complementarity problems and quasi-variational inequalities, in "Variational Inequalities and Complementarity Problems" (R. Cottle, F. Giannessi, and J. Lions, Eds.), pp. 75-87, New York/London, 1980.
    • (1980) Variational Inequalities and Complementarity Problems , pp. 75-87
    • Docetta, I.C.1    Mosco, U.2
  • 14
    • 43949157183 scopus 로고
    • A perturbed algorithm for variational inclusions
    • 14. Hassouni and Moudafi, A perturbed algorithm for variational inclusions, J. Math. Anal. Appl. 185 (1994), 706-712.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 706-712
    • Hassouni1    Moudafi2
  • 15
    • 0003572263 scopus 로고
    • Complementarity problems
    • Springer-Verlag, Heidelberg
    • 15. G. Isac, "Complementarity Problems," Lecture Notes in Mathematics, Springer-Verlag, Heidelberg, 1992.
    • (1992) Lecture Notes in Mathematics
    • Isac, G.1
  • 16
    • 84974510015 scopus 로고
    • Fixed point theory and complementarity problems in Hilbert space
    • 16. G. Isac, Fixed point theory and complementarity problems in Hilbert space, Bull. Austral. Math. Soc. 36, No. 2 (1987), 295-310.
    • (1987) Bull. Austral. Math. Soc. , vol.36 , Issue.2 , pp. 295-310
    • Isac, G.1
  • 17
    • 0001386329 scopus 로고
    • A special variational inequality and the implicit complementarity problems
    • 17. G. Isac, A special variational inequality and the implicit complementarity problems, J. Fac. Sci. Univ. Tokyo 37 (1990), 109-127.
    • (1990) J. Fac. Sci. Univ. Tokyo , vol.37 , pp. 109-127
    • Isac, G.1
  • 18
    • 0000522174 scopus 로고
    • Generalized complementarity problems
    • 18. S. Karamardian, Generalized complementarity problems, J. Optim. Theory Appl. 8 (1971), 161-168.
    • (1971) J. Optim. Theory Appl. , vol.8 , pp. 161-168
    • Karamardian, S.1
  • 19
    • 0023401718 scopus 로고
    • Sensitivity analysis framework for variational inequalities
    • 19. J. Kyparisis, "Sensitivity analysis framework for variational inequalities, Math. Programming 38 (1987), 203-213.
    • (1987) Math. Programming , vol.38 , pp. 203-213
    • Kyparisis, J.1
  • 20
    • 0003086532 scopus 로고
    • Implicit variational problems and quasi-variational inequalities
    • Springer-Verlag, Berlin/New York
    • 20. U. Mosco, Implicit variational problems and quasi-variational inequalities, in "Lecture Notes in Mathematics," Vol. 543, 83-156, Springer-Verlag, Berlin/New York, 1976.
    • (1976) Lecture Notes in Mathematics , vol.543 , pp. 83-156
    • Mosco, U.1
  • 21
    • 0001645359 scopus 로고
    • Coupling optimization methods and variational convergence, trends in mathematical optimization
    • K. H. Hoffmann, J. B. Hiriart-Urruty, C. Lemarechal, and J. Zowe, Eds., Birkhäuser, Basel
    • 21. B. Lemaire, Coupling optimization methods and variational convergence, trends in mathematical optimization, in "Series of Num. Math." (K. H. Hoffmann, J. B. Hiriart-Urruty, C. Lemarechal, and J. Zowe, Eds.), Vol. 84, pp. 163-179, Birkhäuser, Basel, 1987.
    • (1987) Series of Num. Math. , vol.84 , pp. 163-179
    • Lemaire, B.1
  • 22
    • 0000073154 scopus 로고
    • Coupling proximal methods and variational convergence
    • 22. A. Moudafi, Coupling proximal methods and variational convergence, Z. Oper. Res. 3 (1993), 269-280.
    • (1993) Z. Oper. Res. , vol.3 , pp. 269-280
    • Moudafi, A.1
  • 23
    • 0000091033 scopus 로고
    • Strongly nonlinear variational inequalities
    • 23. M. A. Noor, Strongly nonlinear variational inequalities, C.R. Math. Rep. Acad. Sci. Canada 4 (1982), 213-218.
    • (1982) C.R. Math. Rep. Acad. Sci. Canada , vol.4 , pp. 213-218
    • Noor, M.A.1
  • 24
    • 46549093628 scopus 로고
    • An iterative scheme for a class of quasi-variational inequalities
    • 24. M. A. Noor, An iterative scheme for a class of quasi-variational inequalities, J. Math. Anal. Appl. 110 (1985), 463-468.
    • (1985) J. Math. Anal. Appl. , vol.110 , pp. 463-468
    • Noor, M.A.1
  • 25
    • 0011625293 scopus 로고
    • A general algorithm and sensitivity analysis for variational inequalities
    • 25. M. A. Noor, A general algorithm and sensitivity analysis for variational inequalities, J. Comput. Math. 11, No. 1 (1993), 87-96.
    • (1993) J. Comput. Math. , vol.11 , Issue.1 , pp. 87-96
    • Noor, M.A.1
  • 27
    • 0025450832 scopus 로고
    • Strongly nonlinear quasi-variational inequalities
    • 27. A. H. Siddiqi and Q. H. Ansari, Strongly nonlinear quasi-variational inequalities, J. Math. Anal. Appl. 149 (1990), 444-450.
    • (1990) J. Math. Anal. Appl. , vol.149 , pp. 444-450
    • Siddiqi, A.H.1    Ansari, Q.H.2
  • 28
    • 38249020483 scopus 로고
    • An algorithm for a class of quasivariational inequalities
    • 28. A. H. Siddiqi and Q. H. Ansari, An algorithm for a class of quasivariational inequalities, J. Math. Anal. Appl. 145 (1990), 413-418.
    • (1990) J. Math. Anal. Appl. , vol.145 , pp. 413-418
    • Siddiqi, A.H.1    Ansari, Q.H.2
  • 29
    • 0000409776 scopus 로고
    • General strongly nonlinear variational inequalities
    • 29. A. H. Siddiqi and Q. H. Ansari, General strongly nonlinear variational inequalities, J. Math. Anal. Appl. 166 (1992), 386-392.
    • (1992) J. Math. Anal. Appl. , vol.166 , pp. 386-392
    • Siddiqi, A.H.1    Ansari, Q.H.2
  • 31
    • 0022488197 scopus 로고
    • Sensitivity analysis for variational inequalities
    • 31. R. L. Tobin, Sensitivity analysis for variational inequalities, J. Optim. Theory Appl. 48 (1986), 191-204.
    • (1986) J. Optim. Theory Appl. , vol.48 , pp. 191-204
    • Tobin, R.L.1
  • 32
    • 0027543289 scopus 로고
    • A globally convergent Newton method for solving strongly monotone variational inequalities
    • 32. K. Taji, M. Fukushima, and T. Ibaraki, A globally convergent Newton method for solving strongly monotone variational inequalities, Math. Programming 58 (1993), 369-383.
    • (1993) Math. Programming , vol.58 , pp. 369-383
    • Taji, K.1    Fukushima, M.2    Ibaraki, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.