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ITERATIVE ALGORITHM FOR SOLVING MIXED QUASI-VARIATIONAL-LIKE INEQUALITIES WITH
 

Summary: ITERATIVE ALGORITHM FOR SOLVING MIXED
QUASI-VARIATIONAL-LIKE INEQUALITIES WITH
SKEW-SYMMETRIC TERMS IN BANACH SPACES
LU-CHUAN CENG, QAMRUL HASAN ANSARI, AND JEN-CHIH YAO
Received 1 April 2006; Accepted 28 May 2006
We develop an iterative algorithm for computing the approximate solutions of mixed
quasi-variational-like inequality problems with skew-symmetric terms in the setting of
reflexive Banach spaces. We use Fan-KKM lemma and concept of -cocoercivity of a com-
position mapping to prove the existence and convergence of approximate solutions to the
exact solution of mixed quasi-variational-like inequalities with skew-symmetric terms.
Furthermore, we derive the posteriori error estimates for approximate solutions under
quite mild conditions.
Copyright 2006 Lu-Chuan Ceng et al. 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.
1. Introduction
It is well known that variational inequality theory, as a very effective and powerful tool,
not only has stimulated new results dealing with partial differential equations, but also
has been applied to a large variety of problems arising in mechanics, contact problems in
elasticity, optimization and control problems, management science, operations research,

  

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

 

Collections: Mathematics