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Volumn 7, Issue 6, 2002, Pages 807-828

Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings

Author keywords

Iterative algorithm; Mixed implicit quasi variational inclusion; Perturbed algorithm with errors; Set valued mapping; Stability

Indexed keywords


EID: 0036953581     PISSN: 10255834     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (53)

References (51)
  • 1
    • 0030585926 scopus 로고    scopus 로고
    • Perturbed algorithm and sensitivity analysis for a general class of variational inclusions
    • Adly, S. (1996) "Perturbed algorithm and sensitivity analysis for a general class of variational inclusions", J. Math. Anal. Appl. 201, 609-630.
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 609-630
    • Adly, S.1
  • 2
    • 0035417065 scopus 로고    scopus 로고
    • Stability of iterative processes with errors for nonlinear equations of φ-strongly accretive type operators
    • Agarwal, R. P., Huang, N. J. and Cho, Y. J. (2001) "Stability of iterative processes with errors for nonlinear equations of φ-strongly accretive type operators", Numer. Funct. Anal. and Optim. 22(5 & 6), 471-485.
    • (2001) Numer. Funct. Anal. and Optim. , vol.22 , Issue.5-6 , pp. 471-485
    • Agarwal, R.P.1    Huang, N.J.2    Cho, Y.J.3
  • 3
    • 0002683002 scopus 로고    scopus 로고
    • Sensitivity analysis for strongly nonlinear quasi-variational inclusions
    • Agarwal, R. P., Cho, Y. J. and Huang, N. J. (2000) "Sensitivity analysis for strongly nonlinear quasi-variational inclusions", Appl. Math. Lett. 13(6), 19-24.
    • (2000) Appl. Math. Lett. , vol.13 , Issue.6 , pp. 19-24
    • Agarwal, R.P.1    Cho, Y.J.2    Huang, N.J.3
  • 4
    • 0003513119 scopus 로고
    • Variational Convergence for Functions and Operators
    • Pitman, London
    • Attouch, H. (1974) "Variational Convergence for Functions and Operators", Appl. Math. Ser. (Pitman, London).
    • (1974) Appl. Math. Ser.
    • Attouch, H.1
  • 9
    • 0034658778 scopus 로고    scopus 로고
    • Generalized set-valued variational inclusions in Banach spaces
    • Chang, S. S., Cho, Y. J., Lee, B. S. and Jung, I. H. (2000) "Generalized set-valued variational inclusions in Banach spaces", J. Math. Anal. Appl. 246, 409-422.
    • (2000) J. Math. Anal. Appl. , vol.246 , pp. 409-422
    • Chang, S.S.1    Cho, Y.J.2    Lee, B.S.3    Jung, I.H.4
  • 13
    • 0031164802 scopus 로고    scopus 로고
    • Perturbed proximal point for generalized quasi-variational inclusions
    • Ding, X. P. (1997) "Perturbed proximal point for generalized quasi-variational inclusions", J. Math. Anal. Appl. 210, 88-101.
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 88-101
    • Ding, X.P.1
  • 14
    • 0000937579 scopus 로고
    • Generalized strongly nonlinear quasi-variational Inequalities
    • Ding, X. P. (1993) "Generalized strongly nonlinear quasi-variational Inequalities", J. Math. Anal. Appl. 173, 577-587.
    • (1993) J. Math. Anal. Appl. , vol.173 , pp. 577-587
    • Ding, X.P.1
  • 17
    • 0000544273 scopus 로고
    • A stable iteration procedures for nonexpensive mappings
    • Harder, A. M. and Hichs, T. L. (1988) "A stable iteration procedures for nonexpensive mappings", Math. Japonica 33(5), 687-692.
    • (1988) Math. Japonica , vol.33 , Issue.5 , pp. 687-692
    • Harder, A.M.1    Hichs, T.L.2
  • 18
    • 0000441288 scopus 로고
    • Stability results for fixed point iteration procedures
    • Harder, A. M. and Hichs, T. L. (1988) "Stability results for fixed point iteration procedures", Math. Japonica 33(5), 693-706.
    • (1988) Math. Japonica , vol.33 , Issue.5 , pp. 693-706
    • Harder, A.M.1    Hichs, T.L.2
  • 19
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • Harker, P. T. and Pang, J. S. (1990) "Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications", Math. Programming 48, 161-220.
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 20
    • 43949157183 scopus 로고
    • A perturbed algorithm for variational inclusions
    • Hassouni, A. and Moudafi, A. (1994) "A perturbed algorithm for variational inclusions", J. Math. Anal. Appl. 185, 706-712.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 706-712
    • Hassouni, A.1    Moudafi, A.2
  • 21
    • 0002635055 scopus 로고    scopus 로고
    • Generalized nonlinear variational inclusions with noncompact valued mapping
    • Huang, N. J. (1996) "Generalized nonlinear variational inclusions with noncompact valued mapping", Appl. Math. Lett. 9(3), 25-29.
    • (1996) Appl. Math. Lett. , vol.9 , Issue.3 , pp. 25-29
    • Huang, N.J.1
  • 22
    • 0031284331 scopus 로고    scopus 로고
    • On the generalized implicit quasi-variational inequalities
    • Huang, N. J. (1997) "On the generalized implicit quasi-variational inequalities", J. Math. Anal. Appl. 216, 197-210.
    • (1997) J. Math. Anal. Appl. , vol.216 , pp. 197-210
    • Huang, N.J.1
  • 23
    • 0032064476 scopus 로고    scopus 로고
    • Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions
    • Huang, N. J. (1998) "Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions", Computers Math. Appl. 35(10), 1-7.
    • (1998) Computers Math. Appl. , vol.35 , Issue.10 , pp. 1-7
    • Huang, N.J.1
  • 24
    • 0032066154 scopus 로고    scopus 로고
    • A new completely general class of variational inclusions with noncompact valued mappings
    • Huang, N. J. (1998) "A new completely general class of variational inclusions with noncompact valued mappings", Computers Math. Appl. 35(10), 9-14.
    • (1998) Computers Math. Appl. , vol.35 , Issue.10 , pp. 9-14
    • Huang, N.J.1
  • 25
    • 0033131697 scopus 로고    scopus 로고
    • On the generalized set-valued strongly nonlinear implicit variational inequalities
    • Huang, N. J., Liu, Y. P., Tang, Y. Y. and Bai, M. R. (1999) "On the generalized set-valued strongly nonlinear implicit variational inequalities", Computers Math. Appl. 37(10), 29-36.
    • (1999) Computers Math. Appl. , vol.37 , Issue.10 , pp. 29-36
    • Huang, N.J.1    Liu, Y.P.2    Tang, Y.Y.3    Bai, M.R.4
  • 26
    • 0034230642 scopus 로고    scopus 로고
    • Generalized nonlinear mixed quasi-variational inequalities
    • Huang, N. J., Bai, M. R., Cho, Y. J. and Kang, S. M. (2000) "Generalized nonlinear mixed quasi-variational inequalities", Computers Math. Appl. 40(2-3), 205-215.
    • (2000) Computers Math. Appl. , vol.40 , Issue.2-3 , pp. 205-215
    • Huang, N.J.1    Bai, M.R.2    Cho, Y.J.3    Kang, S.M.4
  • 28
    • 0000772810 scopus 로고
    • Complementarity problems
    • Springer-Verlag, Berlin
    • Isac, G. (1992) "Complementarity problems", Lecture Notes in Math., Vol. 1528 (Springer-Verlag, Berlin).
    • (1992) Lecture Notes in Math. , vol.1528
    • Isac, G.1
  • 29
    • 0031131176 scopus 로고    scopus 로고
    • Mann and Ishikawa type perturbed iterative algorithms for generalized quasi-variational inclusions
    • Kazmi, K. R. (1997) "Mann and Ishikawa type perturbed iterative algorithms for generalized quasi-variational inclusions", J. Math. Anal. Appl. 209, 572-584.
    • (1997) J. Math. Anal. Appl. , vol.209 , pp. 572-584
    • Kazmi, K.R.1
  • 30
    • 84972544360 scopus 로고
    • On the monotonicity of the gradient of a convex function
    • Minty, G. J. (1964) "On the monotonicity of the gradient of a convex function", Pacific J. Math. 14, 243-247.
    • (1964) Pacific J. Math. , vol.14 , pp. 243-247
    • Minty, G.J.1
  • 31
    • 0003086532 scopus 로고
    • Implicit variational problems and quasi-variational inequalities
    • Springer-Verlag, Berlin
    • Mosco, U. (1976) "Implicit variational problems and quasi-variational inequalities", Lecture Notes in Math., Vol. 543 (Springer-Verlag, Berlin).
    • (1976) Lecture Notes in Math. , vol.543
    • Mosco, U.1
  • 32
    • 84972513402 scopus 로고
    • Multi-valued contraction mappings
    • Nadler, S. B. Jr. (1969) "Multi-valued contraction mappings", Pacific J. Math. 30, 475-488.
    • (1969) Pacific J. Math. , vol.30 , pp. 475-488
    • Nadler S.B., Jr.1
  • 33
    • 0031053863 scopus 로고    scopus 로고
    • Variational inequalities for international general financial equilibrium modeling and computation
    • Nagurney, A. and Siokos, S. (1997) "Variational inequalities for international general financial equilibrium modeling and computation", Mathl. Comput. Modeling. 25(1), 31-49.
    • (1997) Mathl. Comput. Modeling. , vol.25 , Issue.1 , pp. 31-49
    • Nagurney, A.1    Siokos, S.2
  • 34
    • 0002426999 scopus 로고    scopus 로고
    • Some recent advances in variational inequalities I
    • Noor, M. A. (1997) "Some recent advances in variational inequalities I", New Zealand J. Math. 26, 53-80; Noor, M. A. (1997) "Some recent advances in variational inequalities II", New Zealand J. Math. 26, 229-255.
    • (1997) New Zealand J. Math. , vol.26 , pp. 53-80
    • Noor, M.A.1
  • 35
    • 0001342077 scopus 로고    scopus 로고
    • Some recent advances in variational inequalities II
    • Noor, M. A. (1997) "Some recent advances in variational inequalities I", New Zealand J. Math. 26, 53-80; Noor, M. A. (1997) "Some recent advances in variational inequalities II", New Zealand J. Math. 26, 229-255.
    • (1997) New Zealand J. Math. , vol.26 , pp. 229-255
    • Noor, M.A.1
  • 36
    • 0034230639 scopus 로고    scopus 로고
    • An iterative method for general mixed variational inequalities
    • Noor, M. A. (2000) "An iterative method for general mixed variational inequalities", Computers Math. Appl. 40, 171-176.
    • (2000) Computers Math. Appl. , vol.40 , pp. 171-176
    • Noor, M.A.1
  • 37
    • 0034311124 scopus 로고    scopus 로고
    • New approximation schemes for general variational inequalities
    • Noor, M. A. (2000) "New approximation schemes for general variational inequalities", J. Math. Anal. Appl. 251, 217-229.
    • (2000) J. Math. Anal. Appl. , vol.251 , pp. 217-229
    • Noor, M.A.1
  • 38
    • 0000653622 scopus 로고    scopus 로고
    • Set-valued resolvent equations and mixed variational inequalities
    • Noor, M. A., Noor, K. I. and Rassias, T. M. (1998) "Set-valued resolvent equations and mixed variational inequalities", J. Math. Anal. Appl. 220, 741-759.
    • (1998) J. Math. Anal. Appl. , vol.220 , pp. 741-759
    • Noor, M.A.1    Noor, K.I.2    Rassias, T.M.3
  • 40
    • 0030589754 scopus 로고    scopus 로고
    • Stable iteration procedures for strong pseudo-contractions and nonlinear operator equations of the accretive type
    • Osilike, M. O. (1996) "Stable iteration procedures for strong pseudo-contractions and nonlinear operator equations of the accretive type", J. Math. Anal. Appl. 204, 677-692.
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 677-692
    • Osilike, M.O.1
  • 41
    • 0002794279 scopus 로고    scopus 로고
    • Stability of the Mann and Ishikawa iteration procedures for φ-strong pseudocontractions and nonlinear equations of the φ-strongly accretive type
    • Osilike, M. O. (1998) "Stability of the Mann and Ishikawa iteration procedures for φ-strong pseudocontractions and nonlinear equations of the φ-strongly accretive type", J. Math. Anal. Appl. 227, 319-334.
    • (1998) J. Math. Anal. Appl. , vol.227 , pp. 319-334
    • Osilike, M.O.1
  • 43
    • 0026442013 scopus 로고
    • New types of variational principles based on the notion of quasidifferentiability
    • Panagiotopoulos, P. D. and Stavronlakis, G. E. (1992) "New types of variational principles based on the notion of quasidifferentiability", Acta. Mech. 94, 171-194.
    • (1992) Acta. Mech. , vol.94 , pp. 171-194
    • Panagiotopoulos, P.D.1    Stavronlakis, G.E.2
  • 44
    • 0000056025 scopus 로고
    • Generalized equation and their solutions. Part I. Basic Theory
    • Robinson, S. M. (1979) "Generalized equation and their solutions. Part I. Basic Theory", Math. Programming Stud. 10, 128-141.
    • (1979) Math. Programming Stud. , vol.10 , pp. 128-141
    • Robinson, S.M.1
  • 45
    • 0004267646 scopus 로고
    • Princeton Unvi. Press, Princeton, NJ
    • Rockaffellar, R. (1970) Convex Analysis (Princeton Unvi. Press, Princeton, NJ).
    • (1970) Convex Analysis
    • Rockaffellar, R.1
  • 46
    • 0012520768 scopus 로고    scopus 로고
    • Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions
    • Shim, S. H., Kang, S. M., Huang, N. J. and Cho, Y. J. (2000) "Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions", J. Inequal. Appl. 5(4), 381-395.
    • (2000) J. Inequal. Appl. , vol.5 , Issue.4 , pp. 381-395
    • Shim, S.H.1    Kang, S.M.2    Huang, N.J.3    Cho, Y.J.4
  • 47
    • 0000409776 scopus 로고
    • General strongly nonlinear variational inequalities
    • Siddiqi, A. H. and Ansari, Q. H. (1992) "General strongly nonlinear variational inequalities", J. Math. Anal. Appl. 166, 386-392.
    • (1992) J. Math. Anal. Appl. , vol.166 , pp. 386-392
    • Siddiqi, A.H.1    Ansari, Q.H.2
  • 48
    • 0002041406 scopus 로고    scopus 로고
    • Strongly nonlinear generalized equations
    • Uko, L. U. (1998) "Strongly nonlinear generalized equations", J. Math. Anal. Appl. 220, 65-76.
    • (1998) J. Math. Anal. Appl. , vol.220 , pp. 65-76
    • Uko, L.U.1
  • 49
    • 0000656362 scopus 로고
    • The generalized quasi variational inequality problem with applications
    • Yao, J. C. (1991) "The generalized quasi variational inequality problem with applications", J. Math. Anal. Appl. 158, 139-160.
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 139-160
    • Yao, J.C.1
  • 51
    • 0030303868 scopus 로고    scopus 로고
    • Scheme for solving variational inequalities
    • Zhu, D. L. and Marcotte, P. (1996) "Scheme for solving variational inequalities", SIAM J. Control. Optim. 6(3), 714-726.
    • (1996) SIAM J. Control. Optim. , vol.6 , Issue.3 , pp. 714-726
    • Zhu, D.L.1    Marcotte, P.2


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