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The solution existence of general variational inclusion problems |
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| Authors: | NX Hai PQ Khanh |
| Institution: | a Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hochiminh City, Viet Nam b Department of Mathematics, International University of Hochiminh City, Hochiminh City, Viet Nam |
| Abstract: | 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. |
| Keywords: | Variational inclusion problems Equilibrium problems Implicit variational inequalities Quasioptimization G-quasiconvexity and G-quasiconvexlikeness with respect to a multifunction Lower and upper C-continuity |
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