System of implicit nonconvex variationl inequality problems A projection method approach
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Authors
K. R. Kazmi
- Department of Mathematics, Aligarh Muslim University, Aligarh, India.
N. Ahmad
- Department of Mathematics, Al-Jouf University, P. O. Box 2014, Skaka, Kingdom of Saudi Arabia.
S. H. Rizvi
- Department of Mathematics, Aligarh Muslim University, Aligarh, India.
Abstract
In this paper, we consider a new system of implicit nonconvex variational inequality problems in setting of
prox-regular subsets of two different Hilbert spaces. Using projection method, we establish the equivalence
between the system of implicit nonconvex variational inequality problems and a system of relations. Using
this equivalence formulation, we suggest some iterative algorithms for finding the approximate solution of
the system of implicit nonconvex variational inequality problems and its special case. Further, we establish
some theorems for the existence and iterative approximation of the solutions of the system of implicit
nonconvex variational inequality problems and its special case. The results presented in this paper are new
and different form the previously known results for nonconvex variational inequality problems. These results
also generalize, unify and improve the previously known results of this area.
Share and Cite
ISRP Style
K. R. Kazmi, N. Ahmad, S. H. Rizvi, System of implicit nonconvex variationl inequality problems A projection method approach, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 170--180
AMA Style
Kazmi K. R., Ahmad N., Rizvi S. H., System of implicit nonconvex variationl inequality problems A projection method approach. J. Nonlinear Sci. Appl. (2013); 6(3):170--180
Chicago/Turabian Style
Kazmi, K. R., Ahmad, N., Rizvi, S. H.. "System of implicit nonconvex variationl inequality problems A projection method approach." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 170--180
Keywords
- System of implicit nonconvex variational inequality problems
- proxegular set
- projection method
- iterative algorithm.
MSC
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