메뉴 건너뛰기




Volumn 79, Issue 8, 1999, Pages 569-575

Generalized nonlinear implicit quasivariational inclusion and an application to implicit variational inequalities

Author keywords

Algorithm; Convergence; Existence; Implicit quasivariational inclusion; Implicit variational inequality; Set valued mapping

Indexed keywords


EID: 22644450707     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4001(199908)79:8<569::AID-ZAMM569>3.0.CO;2-G     Document Type: Article
Times cited : (18)

References (36)
  • 1
    • 0030585926 scopus 로고    scopus 로고
    • Perturbed algorithm and sensitivity analysis for a general class of variational inclusions
    • ADLY, S.: Perturbed algorithm and sensitivity analysis for a general class of variational inclusions. J. Math. Anal. Appl. 201 (1996), 609-630.
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 609-630
    • Adly, S.1
  • 5
    • 0000617544 scopus 로고
    • The generalized quasi-variational inequality
    • CHAN, D.; PANG, J. P.: The generalized quasi-variational inequality. Math. Oper. Res. 7 (1982), 211-222.
    • (1982) Math. Oper. Res. , vol.7 , pp. 211-222
    • Chan, D.1    Pang, J.P.2
  • 7
    • 0000490725 scopus 로고
    • Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaces
    • CHANG, S.; HUANG, N.-J.: Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaces. J. Math. Anal. Appl. 158 (1991), 194-202.
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 194-202
    • Chang, S.1    Huang, N.-J.2
  • 8
    • 0001180448 scopus 로고
    • Generalized multivalued implicit complementarity problems in Hilbert spaces
    • CHANG, S.; HUANG, N.-J.: Generalized multivalued implicit complementarity problems in Hilbert spaces. Math. Japon. 36 (1991), 1093-1100.
    • (1991) Math. Japon. , vol.36 , pp. 1093-1100
    • Chang, S.1    Huang, N.-J.2
  • 11
    • 0031164802 scopus 로고    scopus 로고
    • Perturbed proximal point for generalized quasivariational inclusions
    • DING, X. P.: Perturbed proximal point for generalized quasivariational inclusions. J. Math. Anal. Appl. 210 (1997), 88-101.
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 88-101
    • Ding, X.P.1
  • 12
    • 0000937579 scopus 로고
    • Generalized strongly nonlinear quasivariational inequalities
    • DING, X. P.: Generalized strongly nonlinear quasivariational inequalities. J. Math. Anal. Appl. 173 (1993), 577-587.
    • (1993) J. Math. Anal. Appl. , vol.173 , pp. 577-587
    • Ding, X.P.1
  • 13
    • 0020208193 scopus 로고
    • Generalized variational inequalities
    • FANG, S. C.; PETERSON, E. L.: Generalized variational inequalities. J. Optim. Theory Appl. 38 (1982), 363-383.
    • (1982) J. Optim. Theory Appl. , vol.38 , pp. 363-383
    • Fang, S.C.1    Peterson, E.L.2
  • 14
    • 38249013029 scopus 로고
    • Extension of strongly nonlinear quasivariational inequalities
    • GAO, J. S.; YAO, J. L.: Extension of strongly nonlinear quasivariational inequalities. Appl. Math. Lett. 5:3 (1992), 35-38.
    • (1992) Appl. Math. Lett. , vol.5 , Issue.3 , pp. 35-38
    • Gao, J.S.1    Yao, J.L.2
  • 15
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • PANG, J. S., HARKER, P. T.: 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
    • Pang, J.S.1    Harker, P.T.2
  • 16
    • 34250523511 scopus 로고
    • On some nonlinear elliptic differential functional equations
    • HARTMAN, P.; STAMPACCHIA, G.: On some nonlinear elliptic differential functional equations. Acta. Math. 115 (1966), 271-310.
    • (1966) Acta. Math. , vol.115 , pp. 271-310
    • Hartman, P.1    Stampacchia, G.2
  • 17
    • 43949157183 scopus 로고
    • A perturbed algorithm for variational inclusions
    • HASSOUNI, A.; MOUDAFI, A.: A perturbed algorithm for variational inclusions. J. Math. Anal. Appl. 185 (1994), 706-712.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 706-712
    • Hassouni, A.1    Moudafi, A.2
  • 18
    • 0002635055 scopus 로고    scopus 로고
    • Generalized nonlinear variational inclusions with noncompact valued mapping
    • HUANG, N.-J.: Generalized nonlinear variational inclusions with noncompact valued mapping. Appl. Math. Lett. 9:3 (1996), 25-29.
    • (1996) Appl. Math. Lett. , vol.9 , Issue.3 , pp. 25-29
    • Huang, N.-J.1
  • 19
    • 0031504792 scopus 로고    scopus 로고
    • Completely generalized strongly nonlinear quasi-complementarity problems for fuzzy mappings
    • HUANG, N.-J.: Completely generalized strongly nonlinear quasi-complementarity problems for fuzzy mappings. Indian J. Pure Appl. Math. 28:1 (1997), 23-32.
    • (1997) Indian J. Pure Appl. Math. , vol.28 , Issue.1 , pp. 23-32
    • Huang, N.-J.1
  • 20
    • 17444371849 scopus 로고    scopus 로고
    • Random completely generalized strongly nonlinear quasi-complementarity problems for random fuzzy mappings
    • HUANG, N.-J.: Random completely generalized strongly nonlinear quasi-complementarity problems for random fuzzy mappings. J. Fuzzy Math. 5 (1997), 605-616.
    • (1997) J. Fuzzy Math. , vol.5 , pp. 605-616
    • Huang, N.-J.1
  • 21
    • 0031284331 scopus 로고    scopus 로고
    • On the generalized implicit quasivariational inequalities
    • HUANG, N.-J.: On the generalized implicit quasivariational inequalities. J. Math. Anal. Appl. 216 (1997), 197-210.
    • (1997) J. Math. Anal. Appl. , vol.216 , pp. 197-210
    • Huang, N.-J.1
  • 22
    • 0000772810 scopus 로고
    • Complementarity problems
    • Springer-Verlag, Berlin
    • ISAC, G.: Complementarity problems. Lecture Notes Math. 1528, Springer-Verlag, Berlin 1992.
    • (1992) Lecture Notes Math. , vol.1528
    • Isac, G.1
  • 23
    • 0001386329 scopus 로고
    • A special variational inequality and the implicit complementarity problem
    • ISAC, G.: A special variational inequality and the implicit complementarity problem. J. Fac. Sci. Univ. Tokyo 37 (1990), 109-127.
    • (1990) J. Fac. Sci. Univ. Tokyo , vol.37 , pp. 109-127
    • Isac, G.1
  • 24
    • 0031131176 scopus 로고    scopus 로고
    • Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions
    • KAZMI, K. R.: Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions. J. Math. Anal. Appl. 209 (1997), 572-584.
    • (1997) J. Math. Anal. Appl. , vol.209 , pp. 572-584
    • Kazmi, K.R.1
  • 25
    • 0022044588 scopus 로고
    • An alternating direction implicit algorithm for the solution of linear complementarity problems arising from boundary problems
    • LIN, Y.; CRYER, C.: An alternating direction implicit algorithm for the solution of linear complementarity problems arising from boundary problems. Appl. Math. Optim. 13 (1985), 1-17.
    • (1985) Appl. Math. Optim. , vol.13 , pp. 1-17
    • Lin, Y.1    Cryer, C.2
  • 26
    • 0003086532 scopus 로고
    • Implicit variational problems and quasi-variational inequalities
    • Springer-Verlag, Berlin
    • MOSCO, U.: Implicit variational problems and quasi-variational inequalities. Lecture Notes Math. 543, Springer-Verlag, Berlin 1976.
    • (1976) Lecture Notes Math. , vol.543
    • Mosco, U.1
  • 27
    • 84972513402 scopus 로고
    • Multi-valued contraction mappings
    • NADLER JR., S. B.: Multi-valued contraction mappings. Pacific J. Math. 30 (1969), 475-488.
    • (1969) Pacific J. Math. , vol.30 , pp. 475-488
    • Nadler Jr., S.B.1
  • 28
    • 0000653622 scopus 로고    scopus 로고
    • Set-valued resolvent equations and mixed variational inequalities
    • NOOR, M. A.; NOOR, K. I.; ROSSIAS, T. M.: Set-valued resolvent equations and mixed variational inequalities. J. Math. Anal. Appl. 220 (1998), 741-759.
    • (1998) J. Math. Anal. Appl. , vol.220 , pp. 741-759
    • Noor, M.A.1    Noor, K.I.2    Rossias, T.M.3
  • 30
    • 0026442013 scopus 로고
    • New types of variational principles based on the notion of quasidifferentiability
    • PANAGIOTOPOULOS, P. D.; STAVROULAKIS, G. E.: New types of variational principles based on the notion of quasidifferentiability. Acta. Mech. 94 (1992), 171-194.
    • (1992) Acta. Mech. , vol.94 , pp. 171-194
    • Panagiotopoulos, P.D.1    Stavroulakis, G.E.2
  • 31
    • 0020143523 scopus 로고
    • On the convergence of a basic iterative method for the implicit complementarity problems
    • PANG, J. P.: On the convergence of a basic iterative method for the implicit complementarity problems. J. Optim. Theory Appl. 37 (1982), 149-162.
    • (1982) J. Optim. Theory Appl. , vol.37 , pp. 149-162
    • Pang, J.P.1
  • 32
    • 0000804782 scopus 로고
    • The implicit complementarity problem
    • MANGASARIAN, O. L.; MEYER, R.; ROBINSON, S. M. (eds.): Academic Press, New York/London
    • PANG, J. P.: The implicit complementarity problem. In: MANGASARIAN, O. L.; MEYER, R.; ROBINSON, S. M. (eds.): Nonlinear Programming, 4. Academic Press, New York/London 1981, pp. 487-518.
    • (1981) Nonlinear Programming , vol.4 , pp. 487-518
    • Pang, J.P.1
  • 33
    • 0025450832 scopus 로고
    • Strongly nonlinear quasivariational inequalities
    • SIDDIQI, A. H.; ANSARI, Q. H.: Strongly nonlinear quasivariational 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
  • 34
    • 0000409776 scopus 로고
    • General strongly nonlinear variational inequalities
    • SIDDIQI, A. H.; ANSARI, Q. H.: 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
  • 35
    • 0030589802 scopus 로고    scopus 로고
    • The maximality of the sum of monotone operators in Banach space and an application to hemivariational inequalities
    • TAA, A.: The maximality of the sum of monotone operators in Banach space and an application to hemivariational inequalities. J. Math. Anal. Appl. 204 (1996), 693-700.
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 693-700
    • Taa, A.1
  • 36
    • 0000768758 scopus 로고
    • Completely generalized strongly nonlinear quasicomplementarity problems in Hilbert spaces
    • ZENG, L.-C.: Completely generalized strongly nonlinear quasicomplementarity problems in Hilbert spaces. J. Math. Anal. Appl. 193 (1995), 706-714.
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 706-714
    • Zeng, L.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.