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We propose general variational inclusion problems which are slightly different from corresponding problems considered in several recent papers in the literature and show that they are advantageous. Sufficient conditions for the solution existence are established. As applications we derive consequences for several special cases of variational inclusion problems, quasioptimization problems, equilibrium problems and implicit variational inequalities and show that they improve the results of some recent existing papers. 相似文献
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We propose four kinds of systems of set-valued quasivariational inclusion problems in product spaces, which include many known
systems of equilibrium problems and systems of variational inequalities as well as inclusion problems. Sufficient conditions
for the solution existence are established. When applied to special cases, these conditions improve many existing results
in the literature. To ensure the generality of our problem setting and results, applications in fixed-point theory and quasioptimization
problems are included.
This work was partially supported by the Vietnam national program on basic research in natural sciences. A part of the work
of the first author was completed during his stay at the Department Mathematics of Namur University and its hospitality is
gratefully acknowledged. The authors are indebted to an anonymous referee for valuable remarks. 相似文献
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Hölder continuity and uniqueness of the solutions of general multivalued vector quasiequilibrium problems in metric spaces are established. The results are shown to be extensions of recent ones for equilibrium problems with some improvements. Applications in quasivariational inequalities, vector quasioptimization and traffic network problems are provided as examples for others in various optimization—related problems. 相似文献
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