Self-adaptive methods for mixed quasi-variational inequalities

Journal of Mathematical Analysis and Applications

Volumn 312, Issue 2, 2005, Pages 514-526

  Noor, Muhammad Aslam ^a   Bnouhachem, Abdellah ^b  

^a COMSATS Institute of Information Technology ^*  (Pakistan)

^b NANJING UNIVERSITY   (China)

Author keywords

Mixed variational inequalities; Resolvent operator; Self adaptive rules

Indexed keywords

EID: 27744439486     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.065     Document Type: Article

References (19)

1. C. Baiocchi A. Capelo Variational and Quasi Variational Inequalities 1984 Wiley New York
2. A. Bnouhachem, A self-adaptive method for solving general mixed variational inequalities, J. Math. Anal. Appl., in press
3. H. Brezis Operateur maximaux monotones et semigroupes de contractions dans les espaces de Hilbert 1973 North-Holland Amsterdam
4. F. Giannessi A. Maugeri Variational Inequalities and Network Equilibrium Problems 1995 Plenum New York
5. F. Giannessi A. Maugeri P.M. Pardalos Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models 2001 Kluwer Academic Dordrecht
6. R. Glowinski J.L. Lions R. Tremolieres Numerical Analysis of Variational Inequalities 1981 North-Holland Amsterdam
7. P.T. Harker J.S. Pang Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications Math. Programming 48 1990 161-220
8. B.S. He A class of projection and contraction methods for monotone variational inequalities Appl. Math. Optim. 35 1997 69-76
9. B.S. He L.Z. Liao Improvement of some projection methods for monotone variational inequalities J. Optim. Theory Appl. 112 2002 111-128
10. N. Kikuchi J.T. Oden Contact Problems in Elasticity 1988 SIAM Philadelphia
11. D. Kinderlehrer G. Stampacchia An Introduction to Variational Inequalities and Their Applications 2000 SIAM Philadelphia
12. M.A. Noor Nonlinear variational inequalities in elastostatics Internat. J. Engrg. Sci. 26 1988 1043-1053
13. M.A. Noor Set-valued mixed quasi variational inequalities and implicit resolvent equations Math. Comput. Modelling 29 1999 1-11
14. M.A. Noor New extragradient-type methods for general variational inequalities J. Math. Anal. Appl. 277 2003 379-394
15. M.A. Noor Mixed quasi variational inequalities Appl. Math. Comput. 146 2003 553-578
16. M.A. Noor Fundamentals of mixed quasi variational inequalities Internat. J. Pure Appl. Math. 15 2004 137-258
17. M.A. Noor K.I. Noor Th.M. Rassias Some aspects of variational inequalities J. Comput. Appl. Math. 47 1993 285-312
18. J.T. Oden N. Kikuchi Theory of variational inequalities with applications to problems of flow through porous media Internat. J. Engrg. Sci. 18 1980 1173-1284
19. G. Stampacchia Formes bilineaires coercivites sur les ensembles convexes C. R. Acad. Sci. Paris 258 1964 4413-4416