International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 76309, 11 pages
doi:10.1155/IJMMS/2006/76309

General variational inclusions in Lp spaces

Muhammad Aslam Noor

Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

Received 16 March 2006; Revised 9 May 2006; Accepted 11 May 2006

Copyright © 2006 Muhammad Aslam Noor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is well known that the variational inclusions are equivalent to the fixed point problems. We use this equivalent alternative formulation to suggest and analyze some iterative methods for solving variational inclusions in Lp spaces. We also consider the convergence analysis of these new iterative methods under some suitable conditions.