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
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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,