Semicontinuity of solution sets to parametric quasivariational inclusions with applications to traffic networks. I: Upper semicontinuities.
https://doi.org/10.1007/s11228-008-0082-zPublisher, magazine: ,
Publication year: 2008
Lưu Trích dẫn Chia sẻAbstract
We propose some notions related to semicontinuity of a multivalued mapping and provide a clear insight for various semicontinuity-related definitions. We establish verifiable sufficient conditions for solution sets of general quasivariational inclusion problems to have these semicontinuity-related properties. Our results are proved to include and improve recent ones in the literature by corollaries and examples. Part I is devoted to upper semicontinuity properties of solution sets. Part II [ibid., No. 7–8, 943–960 (2008; Zbl 1156.90443)] discusses lower semicontinuities of these sets and applications, where we discuss in detail a traffic network problem as an example for employing the main results in practical situations
Tags: Hausdorff lower and upper semicontinuities; Quasiequilibrium problems; Quasivariational inequalities; Traffic network problems
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