메뉴 건너뛰기




Volumn 35, Issue 5, 1998, Pages 63-78

Generalized multivalued quasi-variational inequalities (II)

Author keywords

Convergence analysis; Fixed points; Iterative algorithms; Variational inequalities; Wiener Hopf equations

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

EID: 0032019633     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00005-4     Document Type: Article
Times cited : (37)

References (70)
  • 3
    • 0000617544 scopus 로고
    • The generalized quasi-variational inequality problems
    • D. Chan and J.S. Pang, The generalized quasi-variational inequality problems, Math. Oper. Research 7, 211-222, (1982).
    • (1982) Math. Oper. Research , vol.7 , pp. 211-222
    • Chan, D.1    Pang, J.S.2
  • 4
    • 0000490725 scopus 로고
    • Generalized strongly nonlinear quasi-complementarity problems in Hilbert space
    • S.S. Chang and N.J. Huang, Generalized strongly nonlinear quasi-complementarity problems in Hilbert space, J. Math. Anal. Appl. 158, 194-202, (1991).
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 194-202
    • Chang, S.S.1    Huang, N.J.2
  • 8
    • 0002561917 scopus 로고
    • Existence of solutions for lower semicontinuous quasi-equilibrium problems
    • P. Cubiotti, Existence of solutions for lower semicontinuous quasi-equilibrium problems, Computers Math. Applic. 30 (12), 11-22, (1995).
    • (1995) Computers Math. Applic. , vol.30 , Issue.12 , pp. 11-22
    • Cubiotti, P.1
  • 9
    • 0030172974 scopus 로고    scopus 로고
    • A general theorem of complementarity for the implicit GQVI problem
    • P. Cubiotti, A general theorem of complementarity for the implicit GQVI problem, Computers Math. Applic. 31 (11), 97-104, (1996).
    • (1996) Computers Math. Applic. , vol.31 , Issue.11 , pp. 97-104
    • Cubiotti, P.1
  • 10
    • 0000249741 scopus 로고
    • Exchange price equilibrium and variational inequalities
    • S. Dafermos, Exchange price equilibrium and variational inequalities, Math. Programming 46, 391-402, (1990).
    • (1990) Math. Programming , vol.46 , pp. 391-402
    • Dafermos, S.1
  • 12
    • 0000937579 scopus 로고
    • Generalized strongly nonlinear quasi-variational inequalities
    • X.P. Ding, Generalized strongly nonlinear quasi-variational inequalities, J. Math. Anal. Appl. 173, 577-587, (1992).
    • (1992) J. Math. Anal. Appl. , vol.173 , pp. 577-587
    • Ding, X.P.1
  • 14
    • 0020208193 scopus 로고
    • Generalized variational inequalities
    • S.C. Fang and E.L. Peterson, Generalized variational inequalities, J. Optim. Theory Appl. 38, 363-383, (1982).
    • (1982) J. Optim. Theory Appl. , vol.38 , pp. 363-383
    • Fang, S.C.1    Peterson, E.L.2
  • 15
    • 0002219420 scopus 로고
    • Problemi elastostatici con vincoli unilaterali: Il problems di signorini ambigue condizione al contorno
    • G. Fichera, Problemi elastostatici con vincoli unilaterali: Il problems di Signorini ambigue condizione al contorno, Attm. Acad. Naz. Lincei. Mem. Cl. Sci. Nat. Sez. Ia, 7 (8), 91-140, (1963-64).
    • (1963) Attm. Acad. Naz. Lincei. Mem. Cl. Sci. Nat. Sez. Ia , vol.7 , Issue.8 , pp. 91-140
    • Fichera, G.1
  • 16
    • 0007156697 scopus 로고
    • Separation, of sets and gap functions for quasi-variational inequalities
    • Edited by F. Giannessi and A. Maugeri, Plenum Press, New York
    • F. Giannessi, Separation, of sets and gap functions for quasi-variational inequalities, In Variational Inequalities and Network Equilibrium Problems, (Edited by F. Giannessi and A. Maugeri), pp. 101-121, Plenum Press, New York, (1995).
    • (1995) Variational Inequalities and Network Equilibrium Problems , pp. 101-121
    • Giannessi, F.1
  • 20
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • 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, 161-220, (1990).
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 22
    • 38249002518 scopus 로고
    • Algorithms for generalized multivalued variational inequalities in Hilbert spaces
    • C.R. Jou and J.C. Yao, Algorithms for generalized multivalued variational inequalities in Hilbert spaces, Computers Math. Applic. 25 (9), 7-16, (1993).
    • (1993) Computers Math. Applic. , vol.25 , Issue.9 , pp. 7-16
    • Jou, C.R.1    Yao, J.C.2
  • 23
    • 0042323848 scopus 로고
    • Nonlinear random operators equations and inequalities in Banach spaces
    • A. Karamolegos and D. Kravvaritis, Nonlinear random operators equations and inequalities in Banach spaces, Int. J. Math. Math. Sci. 15, 111-118, (1992).
    • (1992) Int. J. Math. Math. Sci. , vol.15 , pp. 111-118
    • Karamolegos, A.1    Kravvaritis, D.2
  • 26
    • 0041322275 scopus 로고
    • Nonlinear equations and inequalities in Banach spaces
    • D. Kravvaritis, Nonlinear equations and inequalities in Banach spaces, J. Math. Anal. Appl. 67, 205-214, (1979).
    • (1979) J. Math. Anal. Appl. , vol.67 , pp. 205-214
    • Kravvaritis, D.1
  • 27
    • 0042059846 scopus 로고
    • Existence theorems for nonlinear random equations and inequalities
    • D. Kravvaritis, Existence theorems for nonlinear random equations and inequalities, J. Math. Anal Appl. 88, 61-75, (1982).
    • (1982) J. Math. Anal Appl. , vol.88 , pp. 61-75
    • Kravvaritis, D.1
  • 29
    • 0003086532 scopus 로고
    • Implicit variational problems and quasi-variational inequalities
    • Springer-Verlag, Berlin
    • U. Mosco, Implicit variational problems and quasi-variational inequalities, In Lecture Notes in Mathematics No. 543, Springer-Verlag, Berlin, (1976).
    • (1976) Lecture Notes in Mathematics , vol.543
    • Mosco, U.1
  • 30
    • 0010604819 scopus 로고    scopus 로고
    • Theory of variational inequalities
    • Mathematics Department, King Saud University, Riyadh
    • M. Aslam Noor, Theory of variational inequalities, In Lecture Notes, Mathematics Department, King Saud University, Riyadh, (1996).
    • (1996) Lecture Notes
    • Noor, M.A.1
  • 31
    • 30244556173 scopus 로고
    • M.Sc. Thesis, Queen's University, Kingston, Ontario, Canada
    • M. Aslam Noor, Riesz-Fréchet theorem and monotonicity, M.Sc. Thesis, Queen's University, Kingston, Ontario, Canada, (1971).
    • (1971) Riesz-Fréchet Theorem and Monotonicity
    • Noor, M.A.1
  • 32
    • 0004254894 scopus 로고
    • Ph.D. Thesis, Brunel University, London, U.K.
    • M. Aslam Noor, On variational inequalities, Ph.D. Thesis, Brunel University, London, U.K., (1975).
    • (1975) On Variational Inequalities
    • Noor, M.A.1
  • 33
    • 0000091033 scopus 로고
    • Strongly nonlinear variational inequalities
    • M. Aslam Noor, Strongly nonlinear variational inequalities, C.R. Math. Rep. Acad. Sci. Canada 4, 213-218, (1982).
    • (1982) C.R. Math. Rep. Acad. Sci. Canada , vol.4 , pp. 213-218
    • Noor, M.A.1
  • 34
    • 0002426999 scopus 로고    scopus 로고
    • Some recent advances in variational inequalities. Part I. Basic concepts
    • M. Aslam Noor, Some recent advances in variational inequalities. Part I. Basic concepts, New Zealand J. Math. 26 (4), 53-80, (1997).
    • (1997) New Zealand J. Math. , vol.26 , Issue.4 , pp. 53-80
    • Noor, M.A.1
  • 35
    • 0001342077 scopus 로고    scopus 로고
    • Some recent advances in variational inequalities. Part II. Other concepts
    • M. Aslam Noor, Some recent advances in variational inequalities. Part II. Other concepts, New Zealand J. Math. 26, (1997).
    • (1997) New Zealand J. Math. , vol.26
    • Noor, M.A.1
  • 36
    • 0039229692 scopus 로고
    • Iterative algorithms for nonlinear variational inequalities
    • M. Aslam Noor, Iterative algorithms for nonlinear variational inequalities, PanAmer. Math. J. 3 (2), 61-80, (1993).
    • (1993) PanAmer. Math. J. , vol.3 , Issue.2 , pp. 61-80
    • Noor, M.A.1
  • 37
    • 0027681192 scopus 로고
    • Wiener-Hopf equations and variational inequalities
    • M. Aslam Noor, Wiener-Hopf equations and variational inequalities, J. Optim. Theory Appl. 79, 197-206, (1993).
    • (1993) J. Optim. Theory Appl. , vol.79 , pp. 197-206
    • Noor, M.A.1
  • 38
    • 0031447123 scopus 로고    scopus 로고
    • Sensitivity analysis for variational inequalities
    • M. Aslam Noor, Sensitivity analysis for variational inequalities, Optimization, (1997).
    • (1997) Optimization
    • Noor, M.A.1
  • 39
    • 0039821558 scopus 로고
    • Set-valued variational inequalities
    • M. Aslam Noor, Set-valued variational inequalities, Optimization 33, 133-142, (1995).
    • (1995) Optimization , vol.33 , pp. 133-142
    • Noor, M.A.1
  • 40
    • 0011024531 scopus 로고    scopus 로고
    • On a class of multivalued variational inequalities
    • M. Aslam Noor, On a class of multivalued variational inequalities, J. Appl. Math. Stochast. Analysis, 10, (1997).
    • (1997) J. Appl. Math. Stochast. Analysis , vol.10
    • Noor, M.A.1
  • 41
    • 0030172722 scopus 로고    scopus 로고
    • Generalized multivalued quasi-variational inequalities
    • M. Aslam Noor, Generalized multivalued quasi-variational inequalities, Computers Math. Applic. 31 (12), 1-13, (1996).
    • (1996) Computers Math. Applic. , vol.31 , Issue.12 , pp. 1-13
    • Noor, M.A.1
  • 42
    • 0002682759 scopus 로고
    • Generalized multivalued variational inequalities (II)
    • M. Aslam Noor, Generalized multivalued variational inequalities (II), Computers Math. Applic. 30 (11), 83-89, (1995).
    • (1995) Computers Math. Applic. , vol.30 , Issue.11 , pp. 83-89
    • Noor, M.A.1
  • 43
    • 0030472959 scopus 로고    scopus 로고
    • Multivalued strongly nonlinear variational inequalities
    • M. Aslam Noor, Multivalued strongly nonlinear variational inequalities, Optimization 36, 31-39, (1996).
    • (1996) Optimization , vol.36 , pp. 31-39
    • Noor, M.A.1
  • 44
    • 0042560678 scopus 로고    scopus 로고
    • Algorithms for multivalued quasi-variational inequalities
    • M. Aslam Noor, Algorithms for multivalued quasi-variational inequalities, Comm. Appl. Nonlinear Anal. 3 (4), 67-80, (1996).
    • (1996) Comm. Appl. Nonlinear Anal. , vol.3 , Issue.4 , pp. 67-80
    • Noor, M.A.1
  • 45
    • 0031514301 scopus 로고    scopus 로고
    • Sensitivity analysis for quasi-variational inequalities
    • M. Aslam Noor, Sensitivity analysis for quasi-variational inequalities, J. Optim. Theory Appl., (1997).
    • (1997) J. Optim. Theory Appl.
    • Noor, M.A.1
  • 46
    • 0031125463 scopus 로고    scopus 로고
    • Iterative methods for generalized nonlinear variational inequalities
    • M. Aslam Noor and E. Al-Said, Iterative methods for generalized nonlinear variational inequalities, Computers Math. Applic. 33 (8), 1-11, (1997).
    • (1997) Computers Math. Applic. , vol.33 , Issue.8 , pp. 1-11
    • Noor, M.A.1    Al-Said, E.2
  • 47
    • 0042560655 scopus 로고    scopus 로고
    • Generalized nonlinear quasi variational inequalities
    • M. Aslam Noor and E. Al-Said, Generalized nonlinear quasi variational inequalities, Comm. Appl. Nonlinear Anal. 4 (3), (1997).
    • (1997) Comm. Appl. Nonlinear Anal. , vol.4 , Issue.3
    • Noor, M.A.1    Al-Said, E.2
  • 48
    • 0000203442 scopus 로고
    • On general nonlinear complementarity problems and quasi-equilibria
    • M. Aslam Noor and W. Oettli, On general nonlinear complementarity problems and quasi-equilibria, Le Matematiche 49, 313-331, (1994).
    • (1994) Le Matematiche , vol.49 , pp. 313-331
    • Noor, M.A.1    Oettli, W.2
  • 50
    • 0002277707 scopus 로고
    • Invitation to variational inequalities
    • Edited by H.M. Srivastava and Th.M. Rassias, Hadronic Press, U.S.A.
    • M.A. Noor, K.I. Noor and Th.M. Rassias, Invitation to variational inequalities, In Analysis, Geometry and Groups: A Riemann Legacy Volume, (Edited by H.M. Srivastava and Th.M. Rassias), pp. 373-448, Hadronic Press, U.S.A., (1993).
    • (1993) Analysis, Geometry and Groups: A Riemann Legacy Volume , pp. 373-448
    • Noor, M.A.1    Noor, K.I.2    Rassias, Th.M.3
  • 51
    • 0026442013 scopus 로고
    • New types of variational principles based on the notion of quasidifferentiability
    • P.D. Panagiotopoulos and G.E. Stavroulakis, New types of variational principles based on the notion of quasidifferentiability, Acta Merchanica 94, 171-194, (1992).
    • (1992) Acta Merchanica , vol.94 , pp. 171-194
    • Panagiotopoulos, P.D.1    Stavroulakis, G.E.2
  • 52
    • 0030134439 scopus 로고    scopus 로고
    • Piecewise smoothness, local invertibility and parametric analysis of normal maps
    • J.S. Pang and D. Ralph, Piecewise smoothness, local invertibility and parametric analysis of normal maps, Math. Opers. Research 21, 401-426, (1996).
    • (1996) Math. Opers. Research , vol.21 , pp. 401-426
    • Pang, J.S.1    Ralph, D.2
  • 53
    • 0023347416 scopus 로고
    • A variational-like inequality for multifunctions with applications
    • J. Parida and A. Sen, A variational-like inequality for multifunctions with applications, J. Math. Anal. Appl. 124, 73-81, (1987).
    • (1987) J. Math. Anal. Appl. , vol.124 , pp. 73-81
    • Parida, J.1    Sen, A.2
  • 54
    • 0041114174 scopus 로고
    • On an iterative method for variational inequalities
    • A. Pitonyak, P. Shi and M. Shillor, On an iterative method for variational inequalities, Numer. Math. 58, 231-244, (1990).
    • (1990) Numer. Math. , vol.58 , pp. 231-244
    • Pitonyak, A.1    Shi, P.2    Shillor, M.3
  • 56
    • 0001272077 scopus 로고
    • Normal maps induced by linear transformations
    • S.M. Robinson, Normal maps induced by linear transformations, Math. Opers. Research 17, 691-714, (1992).
    • (1992) Math. Opers. Research , vol.17 , pp. 691-714
    • Robinson, S.M.1
  • 57
    • 0000306237 scopus 로고
    • Newton's method for a class of nonsmooth functions
    • S.M. Robinson, Newton's method for a class of nonsmooth functions, Set-Valued Analysis 2, 291-305, (1994).
    • (1994) Set-Valued Analysis , vol.2 , pp. 291-305
    • Robinson, S.M.1
  • 58
    • 0038961184 scopus 로고
    • Nonsingularity and symmetry for linear normal maps
    • S.M. Robinson, Nonsingularity and symmetry for linear normal maps, Math. Programming 62, 415-425, (1993).
    • (1993) Math. Programming , vol.62 , pp. 415-425
    • Robinson, S.M.1
  • 59
    • 0000847750 scopus 로고
    • Sensitivity analysis of variational inequality by normal maps techniques
    • Edited by F. Giannessi and A. Maugeri, Plenum, New York
    • S.M. Robinson, Sensitivity analysis of variational inequality by normal maps techniques, In Variational Inequalities and Network Equilibrium Problems, (Edited by F. Giannessi and A. Maugeri), pp. 257-269, Plenum, New York, (1995).
    • (1995) Variational Inequalities and Network Equilibrium Problems , pp. 257-269
    • Robinson, S.M.1
  • 61
    • 0039052736 scopus 로고    scopus 로고
    • Implementation of a continuation method for normal maps
    • H. Sellami and S.M. Robinson, Implementation of a continuation method for normal maps, Math. Programming 76, 563-578, (1997).
    • (1997) Math. Programming , vol.76 , pp. 563-578
    • Sellami, H.1    Robinson, S.M.2
  • 62
    • 0010189925 scopus 로고    scopus 로고
    • Homotopies based on nonsmooth equations for solving nonlinear variational inequalities
    • (Edited by G.D. Pillo and F. Giannessi), Plenum Press, New York
    • H. Sellami and S.M. Robinson, Homotopies based on nonsmooth equations for solving nonlinear variational inequalities, In Nonlinear Optimization and Applications, (Edited by G.D. Pillo and F. Giannessi), Plenum Press, New York, (1996).
    • (1996) Nonlinear Optimization and Applications
    • Sellami, H.1    Robinson, S.M.2
  • 63
    • 84968516167 scopus 로고
    • Equivalence of variational inequalities with Wiener-Hopf equations
    • P. Shi, Equivalence of variational inequalities with Wiener-Hopf equations, Proc. Amer. Math. Soc. 111, 339-346, (1991).
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 339-346
    • Shi, P.1
  • 64
    • 0000499866 scopus 로고
    • An iterative method for obstacles problems via Green's functions
    • P. Shi, An iterative method for obstacles problems via Green's functions, Nonlinear Analysis 15, 339-344, (1990).
    • (1990) Nonlinear Analysis , vol.15 , pp. 339-344
    • Shi, P.1
  • 65
    • 38249028742 scopus 로고
    • Browder-Hartman-Stampacchia variational inequalities for multivalued monotone operators
    • M.H. Shih and K.K. Tan, Browder-Hartman-Stampacchia variational inequalities for multivalued monotone operators, J. Math. Anal. Appl. 134, 431-440, (1988).
    • (1988) J. Math. Anal. Appl. , vol.134 , pp. 431-440
    • Shih, M.H.1    Tan, K.K.2
  • 67
    • 0000544120 scopus 로고
    • Formes bilineaires coercitives sur les ensembles convexes
    • G. Stampacchia, Formes bilineaires coercitives sur les ensembles convexes, C.R. Acad. Sci. Paris 258, 4413-4416, (1964).
    • (1964) C.R. Acad. Sci. Paris , vol.258 , pp. 4413-4416
    • Stampacchia, G.1
  • 68
    • 0001537159 scopus 로고
    • Generalized quasi-variational-like inequality problem
    • G. Tian, Generalized quasi-variational-like inequality problem, Math. Opers. Research 18, 752-764, (1993).
    • (1993) Math. Opers. Research , vol.18 , pp. 752-764
    • Tian, G.1
  • 69
    • 0000656362 scopus 로고
    • The generalized quasi-variational inequality problem with applications
    • J.C. Yao, The generalized quasi-variational inequality problem with applications, J. Math. Anal. Appl. 158, 139-160, (1991).
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 139-160
    • Yao, J.C.1
  • 70
    • 51249162168 scopus 로고
    • Iterative algorithms for finding approximate solutions of completely generalized strongly nonlinear quasi variational inequalities
    • L.C. Zeng, Iterative algorithms for finding approximate solutions of completely generalized strongly nonlinear quasi variational inequalities, Appl. Math. Mechanics, 15, 1069-1080, (1994).
    • (1994) Appl. Math. Mechanics , vol.15 , pp. 1069-1080
    • Zeng, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.