International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Some iterative algorithms for trifunction equilibrium variational inequalities

Muhammad Aslam Noor1,2, Khalida Inayat Noor1 and Eisa Al-Said2      
1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. 2Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia.  
Email: [email protected], [email protected]

  •  Accepted: 13 June 2011
  •  Published: 02 October 2011


In this paper, we use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of equilibrium problems and variational inequalities, which is called the trifunction equilibrium variational inequality. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of equilibrium and variational inequalities.


Key words: Mixed variational inequality, equilibrium problems, convergence, auxiliary principle technique.