Generalized set-valued strongly nonlinear implicit variational inequalities

Computers and Mathematics with Applications

Volumn 37, Issue 10, 1999, Pages 29-36

  Huang, Nan Jing ^a   Liu, Ya Ping ^a   Tang, Ya Yong ^a   Bai, Min Ru ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING; THEOREM PROVING;

AUXILIARY PRINCIPLE TECHNIQUES;

VARIATIONAL TECHNIQUES;

EID: 0033131697     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00123-6     Document Type: Article

References (24)

1. F.E. Browder, On the unification of the calculus of variations and the theory of monotone operators in Banach spaces, Proc. Nat. Acad. Sci. U. S. A. 56, 419-425, (1966).
2. J.C. Yao, Existence of generalized variational inequalities, Oper. Res. Lett. 15, 35-40, (1994).
3. N.-J. Huang, On the generalized implicit quasivariational inequalities, J. Math. Anal. Appl. 216, 197-210, (1997).
4. N.-J. Huang, A new method for a class of nonlinear variational inequalities with fuzzy mappings, Appl. Math. Lett. 10 (6), 129-133, (1997).
5. N.-J. Huang, Completely generalized strongly nonlinear quasi-complementarity problems for fuzzy mappings, Indian J. Pure. Appl. Math. 28, 23-32, (1997).
6. N.-J. Huang, Generalized nonlinear variational inclusions with noncompact valued mappings, Appl. Math. Lett. 9 (3), 25-29, (1996).
7. S.-S. Chang, Variational Inequality and Complementarity Problem Theory with Applications, Shanghai Scientific and Tech. Literature Publishing House, Shanghai, (1991).
8. S.-S. Chang and N.-J. Huang, Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaces, J. Math. Anal. Appl. 158, 194-202, (1991).
9. S.-S. Chang and N.-J. Huang, Generalized set-valued implicit complementarity problems in Hilbert spaces, Math. Japon. 36, 1093-1100, (1991).
10. G. Allen, Variational inequalities, complementarity problems, and duality theorems, J. Math. Anal. Appl. 58, 1-10; (1977).
11. R. Glowvinski, J. Lions, and R. Tremolieres, Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, (1981).
12. G. Isac, On the implicit complementarity problems in Hilbert spaces, Bull. Austral. Math. Soc. 32, 251-260, (1985).
13. G. Isac, Lecture Notes in Mathematics 1528, Springer, Berlin, (1992).
14. F.E. Browder, Nonlinear monotone operators and convex sets in Banach spaces, Bull. Amer. Math. Soc. 71, 781-785, (1965).
15. 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, 161-172, (1990).
16. D. Kinderleher and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, (1980).
17. J. Lions and G. Stampacchia, Variational inequalities, Comm. Pure. Appl. Math. 20, 493-519, (1967).
18. A. Nagurney, Network Economics: A Variational Inequality Approach, Kluwer Academic, Boston, MA, (1993).
19. M.A. Noor, An iterative algorithm for variational inequalities, J. Math. Anal. Appl. 158, 448-455, (1991).
20. M.A. Noor, Mixed variational inequalities, Appl. Math. Lett. 3 (2), 73-75, (1990).
21. M.A. Noor, Variational-like inequalities, Optimization 30, 323-330, (1994).
22. M.A. Noor, General variational inequalities, Appl. Math. Lett. 1 (2), 119-122, (1988).
23. J.C. Yao, Nonlinear inequalities in Banach spaces, J. Comput. Appl. Math. 23 (12), 95-98, (1992).
24. S.B. Nadler, Jr., Multivalued contraction mappings, Pacific J. Math. 30, 475-488, (1969).