On iterative methods for solving a system of mixed variational inequalities

References

• Stampacchia , G . 1964 . Formes bilineaires coercivities sur les ensembles convexes . Comptes Rendus de l‘ Academie des Sciences de Paris , 258 : 4413 – 4416 .
   Google Scholar
• Brezis , H . 1973 . Operateurs Maximaux Monotone et Semigroupes de Contractions dans les Espace d'Hilbert , Amsterdam, , Holland : North-Holland .
   Google Scholar
• Chang , SS , Lee , HWJ and Chan , CK . 2007 . Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces . Applied Mathematics Letters , 20 : 329 – 334 .
   Web of Science ®Google Scholar
• Daniele , P , Giannessi , F and Maugeri , A . 2003 . Equilibrium Problems and Variational Models , United Kingdom : Kluwer Academic Publishers .
   Google Scholar
• Giannessi , F and Maugeri , A . 1995 . Variational Inequalities and Network Equilibrium Problems , New York : Plenum Press .
   Google Scholar
• Giannessi , F , Maugeri , A and Pardalos , PM . 2001 . Equilibrium Problems, Nonsmooth Optimization and Variational Inequalities Problems , Dordrecht, Holland : Kluwer Academic Publishers .
   Google Scholar
• Glowinski , R , Lions , JL and Tremolieres , R . 1981 . Numerical Analysis of Variational Inequalities , Amsterdam, , Holland : North-Holland .
   Google Scholar
• Huang , Z and Noor. , MAslam . 2007 . An explicit projection method for a system of nonlinear variational inequalities with different (γr)-cocoercive mappings . Applied Mathematics and Computation , 190 : 356 – 361 .
   Web of Science ®Google Scholar
• Lions , JL and Stampacchia , G . 1967 . Variational inequalities . Communications on Pure and Applied Mathematics , 20 : 493 – 512 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 1975 . On variational inequalities , London, , UK : Brunel University . PhD thesis
   Google Scholar
• Aslam Noor , M . 1993 . Wiener-Hopf equations and variational inequalities . Journal of Optimization Theory Applications , 79 : 197 – 206 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 1997 . Some recent advances in variational inequalities, Part I, basic concepts . New Zealand Journal of Mathematics , 26 : 53 – 80 .
   Google Scholar
• Aslam Noor , M . 1997 . Some recent advances in variational inequalities, Part II, other concepts . New Zealand Journal of Mathematics , 26 : 229 – 255 .
   Google Scholar
• Aslam Noor , M . 1999 . Some Algorithms for general monotone mixed variational inequalities . Mathematical and Computer Modelling , 29 : 1 – 9 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2000 . New approximation schemes for general variational inequalities . Journal of Mathematical Analysis and Applications , 251 : 217 – 229 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2003 . New extragradient-type methods for general variational inequalities . Journal of Mathematical Analysis and Applications , 277 : 379 – 395 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2004 . Some developments in general variational inequalities . Applications of Mathematical Computation , 152 : 199 – 277 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2003 . Mixed quasi variational inequalities . Applications of Mathematical Computation , 146 : 553 – 578 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2004 . Fundamentals of mixed quasi variational inequalities . International Journal of Pure and Applied Mathematics , 15 : 137 – 258 .
   Google Scholar
• Aslam Noor , M . 2006 . Fundamentals of equilibrium problems . Mathematical Inequalities and Applications , 9 : 529 – 566 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2006 . Merit functions for general variational inequalities . Journal of Mathematical Analysis and Applications , 316 : 736 – 752 .
   Web of Science ®Google Scholar
• Aslam Noor , M . 2006 . Projection-proximal methods for general variational inequalities . Journal of Mathematical Analysis and Applications , 318 : 53 – 62 .
   Web of Science ®Google Scholar
• Aslam Noor , M and Inayat Noor , K . 2004 . Self-adaptive projection algorithms for general variational inequalities . Applications of Mathematics Computation , 151 : 659 – 670 .
   Web of Science ®Google Scholar
• Aslam Noor , M , Inayat Noor , K and Rassias , ThM . 1993 . Some aspects of variational inequalities . Journal of Computational and Applied Mathematics , 47 : 285 – 312 .
   Web of Science ®Google Scholar
• Aslam noor , M , Inayat Noor , K and Rassias , TM . 1998 . Set-valued resolvent equations and mixed variational inequalities . Journal of Mathematical Analysis and Applications , 220 : 741 – 759 .
   Web of Science ®Google Scholar
• Patriksson , M . 1998 . Nonlinear Programming and Variational Inequalities: A Unified Approach , Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Verma , RU . 2004 . Generalized system for relaxed cocoercive variational inequalities and projection methods . Journal of Optimization Theory Applications , 121 : 203 – 210 .
   Web of Science ®Google Scholar
• Verma , RU . 2005 . General convergence analysis for two-step projection methods and applications to variational problems . Applied Mathematics Letters , 18 : 1286 – 1292 .
   Web of Science ®Google Scholar
• Zhu , DL and Marcotte , P . 1996 . Cocoercivity and its role in the convergence of iterative schemes for solving variational inequalities . SIMA Journal of Optimization , 6 : 614 – 726 .
   Web of Science ®Google Scholar
• Weng , XL . 1991 . Fixed point iteration for local strictly pseudocontractive mappings . Proceedings of the American Mathematical Society , 113 : 727 – 731 .
   Web of Science ®Google Scholar