Summary: PERGAMON Applied Mathematics Letters 13 (2000) 23­26
www.elsevier.nl/locate/aml
An Iterative Algorithm for Generalized
Nonlinear Variational Inclusions
R. Ahmad
Department of Mathematics, Aligarh Muslim University
Aligarh 202 002, India
Q. H. Ansari
Department of Applied Mathematics
National Sun Yat-Sen University, Kaohsiung, Taiwan, R.O.C.
(Received August 1999; revised and accepted November 1999)
Abstract--In this paper, we consider the generalized nonlinear variational inclusions for nonclosed
and nonbounded valued operators and define an iterative algorithm for finding the approximate
solutions of this class of variational inclusions. We also establish that the approximate solutions
obtained by our algorithm converge to the exact solution of the generalized nonlinear variational
inclusion. c 2000 Elsevier Science Ltd. All rights reserved.
Keywords--Variational inclusions, Generalized variational inequalities, Algorithm, Relaxed Lip-
schitz operators.
1. INTRODUCTION
In 1994, Hassouni and Moudafi [1] introduced a perturbed method for solving a new class of vari-

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

Collections: Mathematics