Well-Posedness for Mixed Quasivariational-Like Inequalities

L. C. Ceng, N. Hadjisavvas, S. Schaible and J. C. Yao ()
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L. C. Ceng: Shanghai Normal University
N. Hadjisavvas: University of the Aegean
S. Schaible: University of California
J. C. Yao: National Sun-Yat-Sen University

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 1, No 7, 109-125

Abstract: Abstract In this paper, we introduce concepts of well-posedness, and well-posedness in the generalized sense, for mixed quasivariational-like inequalities where the underlying map is multivalued. We give necessary and sufficient conditions for the various kinds of well-posedness to occur. Our results generalize and strengthen previously found results for variational and quasivariational inequalities.

Keywords: Mixed quasivariational-like inequalities; Well-posedness; Well-posedness in the generalized sense; Multivalued maps; Measure of noncompactness (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10957-008-9428-9

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