Abstract
In this paper, a class of complementarity problem and three classes of variational inequalities in real Banach spaces are introduced, and the equivalence among them are established under certain conditions. Several coercivity conditions are introduced for the existence of solutions of the generalized complementarity problem. Our results can be viewed as extension and generalization of the recent paper [N. J. Huang, J. Li, D. O’Regan, Generalized f-complementarity problems in Banach spaces, vol. 142, pg. 3828-3840, 2008].
Funding Statement
The first author was in part supported by a grant from IPM (No. 87490015).
Acknowledgments
The authors would like to thank referees for valuable suggestions and remarks.
Citation
A. P. Farajzadeh. A. Amini-Harandi. "GENERALIZED COMPLEMENTARITY PROBLEMS IN BANACH SPACES." Albanian J. Math. 3 (1) 35 - 42, 2009. https://doi.org/10.51286/albjm/1236886000
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