International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Proximal algorithms for solving mixed bifunction variational inequalities

Muhammad Aslam Noor1,2*, Khalida Inayat Noor1, Saira Zainab1 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]

  •  Accepted: 27 May 2011
  •  Published: 02 September 2011


In this paper, we suggest and analyze some proximal methods for solving mixed bifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under some mild suitable conditions on the bifunction and the operators. Several cases are also discussed. Results in this paper include some new and known results as special cases.


Key words: Bifunction, variational inequality, auxiliary principle technique, proximal point algorithms, convergence.