On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems

L. Q. Anh () and P. Q. Khanh ()
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L. Q. Anh: Cantho University
P. Q. Khanh: International University of Hochiminh City

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 2, No 6, 284 pages

Abstract: Abstract We give sufficient conditions for the semicontinuity of solution sets of general multivalued vector quasiequilibrium problems. All kinds of semicontinuities are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity, and closedness. Moreover, we investigate the weak, middle, and strong solutions of quasiequilibrium problems. Many examples are provided to give more insights and comparisons with recent existing results.

Keywords: Quasiequilibrium problems; Lower; upper and Hausdorff upper semicontinuity; Closedness of solution multifunctions; Quasivariational inequalities (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s10957-007-9250-9

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