International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Extended general bifunction variational inequalities

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

  •  Accepted: 15 December 2011
  •  Published: 16 January 2012


In this paper, we introduce and consider a new class of variational inequalities which is called the mixed extended general bifunction variational inequality. We suggest and analyze some proximal methods for solving the mixed extended general bifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under some mild suitable conditions. Several cases are also discussed. Results in this paper include some new and known results as special cases.


Key words: General variational inequality, implicit method, convergence, auxiliary principle technique.