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Non-compact generalized variational inequalities for quasi-monotone and hemi-continuous operators with applications |
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| Authors: | M S R Chowdhury E Tarafdar H B Thompson |
| Affiliation: | (1) Department of Computer Science, North South University, 12 Kamal Ataturk Ave, Banani Dhaka, 1213, Bangladesh;(2) Department of Mathematics, The University of Queensland, Brisbane, Queensland, 4072, Australia |
| Abstract: | Some results are obtained for non-compact cases in topological vector spaces for the existence problem of solutions for some set-valued variational inequalities with quasi-monotone and lower hemi-continuous operators, and with quasi-semi-monotone and upper hemi-continuous operators. Some applications are given in non-reflexive Banach spaces for these existence problems of solutions and for perturbation problems for these set-valued variational inequalities with quasi-monotone and quasi-semi-monotone operators. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | lower hemicontinuous quasi-semi-monotone Generalized variational inequality perturbation problem quasi-monotone monotone and semi-monotone operators upper hemicontinuous non-reflexive Banach space |
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