International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 7, Pages 1085-1100
doi:10.1155/IJMMS.2005.1085

Error bounds for general mixed quasivariational inequalities

Muhammad Aslam Noor and Khalida Inayat Noor

Mathematics Department, COMSATS Institute of Information Technology, University Road, Abbottabad, Islambad, Pakistan

Abstract

It is well known that mixed quasivariational inequalities are equivalent to the implicit fixed-point problems. We use this alternative equivalent formulation to suggest and consider some merit functions for general mixed quasivariational inequalities. We use these merit functions to obtain error bounds for the solution under some mild conditions. Some special cases are also discussed.