Existence and algorithm for solving some generalized mixed variational inequalities

In this paper, by applying the auxiliary variational principle technique, a n existence theorem of solutions for a new class of generalized mixed varia tional inequalities is proved in Hilbert spaces. A novel and innovative ite rative algorithm to compute approximate solutions is suggested and analyzed . The convergence criteria and error estimates are also given. These result s of existence, algorithm, and convergence are new and generalize some corr esponding results involving single-valued mappings in recent literatures. ( C) 1999 Elsevier Science Ltd. All rights reserved.