Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions

Computers and Mathematics with Applications

Volumn 35, Issue 10, 1998, Pages 1-7

  Huang, Nan Jing ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

Convergence; Implicit quasi variational inclusion; Ishikawa type iterative sequence; Mann type iterative sequence

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PERTURBATION TECHNIQUES;

IMPLICIT QUASI VARIATIONAL INCLUSIONS; ISHIKAWA TYPE ITERATIVE SEQUENCE; MANN TYPE ITERATIVE SEQUENCE;

VARIATIONAL TECHNIQUES;

EID: 0032064476     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00066-2     Document Type: Article

References (19)

1. C. Baiocchi and A. Capelo, Variational and Quasivariational Inequalities, Application to Free Boundary Problems, Wiley, New York, (1984).
2. A. Bensoussan, Stochastic Control by Functional Analysis Method, North-Holland, Amsterdam, (1982).
3. A. Bensoussan and J.L. Lions, Impulse Control and Quasivariational Inequalities, Gauthiers-Villers, Bordas, Paris, (1984).
4. S.-S. Chang, Variational Inequality and Complementarity Problem Theory with Applications, Shanghai Scientific and Tech. Literature, Shanghai, (1991).
5. R.W. Cottle, J.P. Pang and R.E. Stone, The Linear Complementarity Problem, Academic Press, London, (1992).
6. J. Crank, Free and Moving Boundary Problems, Clarendon, Oxford, (1984).
7. 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).
8. G. Isac, Complementarity problems, In Lecture Notes in Math., Volume 1528, Springer-Verlag, Berlin, (1992).
9. U. Mosco, Implicit variational problems and quasi-variational inequalities, In Lecture Notes in Math., Volume 543, Springer-Verlag, Berlin, (1976).
10. M.A. Noor, K.I. Noor and T.M. Rossias, Some aspects of variational inequalities, J. Comput. Appl. Math. 47, 285-312, (1993).
11. S. Adly, Perturbed algorithm and sensitivity analysis for a general class of variational inclusions, J. Math. Anal. Appl. 201, 609-630, (1996).
12. A. Hassouni and A. Moudafi, A perturbed algorithm for variational inclusions, J. Math. Anal. Appl. 185, 706-712, (1994).
13. X.P. Ding, Perturbed proximal point for generalized quasivariational inclusions, J. Math. Anal. Appl. 210, 88-101, (1997).
14. K.R. Kazmi, Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions, J. Math. Anal. Appl. 209, 572-584, (1997).
15. N.-J. Huang, On the generalized implicit quasivariational inequalities, J. Math. Anal. Appl. 216, 197-210, (1997).
16. M.A. Noor, On the nonlinear complementarity problem, J. Math. Anal. Appl. 123, 455-460, (1987).
17. M.A. Noor, The quasi-complementarity problem, J. Math. Anal. Appl. 130, 344-353, (1988).
18. H. Attouch, Variational convergence for functions and operators, In Appl. Math. Ser., Pitman, London, (1974).
19. S.-S. Chang, On Chidume's open questions and approximate solution of multivalued strongly accretive mapping equations in Banach spaces, J. Math. Anal. Appl. (to appear).