ON VARIATIONAL INEQUALITIES IN SEMI-INNER PRODUCT SPACES

Main Article Content

MUHAMMAD ASLAM NOOR

Abstract




In this paper, we consider and study the variational inequalities in the setting of semi-inner product spaces. Using the auxiliary principle, we propose and analyze an innovative and novel iterative al- gorithm for finding the approximate solution of variational inequalities. We also discuss the convergence criteria.




Article Details

How to Cite
NOOR, M. A. (1993). ON VARIATIONAL INEQUALITIES IN SEMI-INNER PRODUCT SPACES. Tamkang Journal of Mathematics, 24(1), 91–99. https://doi.org/10.5556/j.tkjm.24.1993.4478
Section
Papers

References

G. Cohen, "Auxiliary problem principle extended to variational inequalities", J. Optim. Theor. Appl. 59 (1988), 325-33.

R. Giles, "Classes of semi-inner product spaces", Trans. Amer, Math. Soc. 129 (1967), 436-466.

R. Glowinski, J. L. Lions and R. Tremolieres, "Numerical Analysis of Variational Inequalities", North-Holland, Amsterdam, 1981.

N. Kikuchi and J. T. Oden, "Contact problems in elasticity", Soc. Ind. Appl. Math. (SIAM), Philadelphia, U. S. A., 1988.

G. Lumer, "Semi-inner product spaces", Trans. Amer. Math. Soc. 100 (1961), 29-43.

M.A . Noor, "General nonlinear variational inequalities", J. Math. Anal. Appl. 126 (1987), 78-84.