In this paper, two new existence and quasi-variational inequality problems are theorems of solutions to inverse variational proved using the Fan-Knaster-Kuratowski- Mazurkiewicz （KKM） theorem and the Kakutani-Fan-Gl...In this paper, two new existence and quasi-variational inequality problems are theorems of solutions to inverse variational proved using the Fan-Knaster-Kuratowski- Mazurkiewicz （KKM） theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.展开更多
In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differenti...In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differential inverse variational inequalities are obtained under different conditions. Some existence theorems of Caratheodory weak solutions for the differential inverse variational inequality are also established under suitable conditions. An application to the time-dependent spatial price equilibrium control problem is also given.展开更多
The main purpose of the present article is to establish some new strengthed and reversed Pachpatte's type inequalities. As applications, some new type Hilbert's inequlities are generalized and strengthened.
基金Project supported by the National Natural Science Foundation of China(No.11671282)the Joint Foundation of the Ministry of Education of China and China Mobile Communication Corporation(No.MCM20150505)+4 种基金the China Postdoctoral Science Foundation(No.2015T80967)the Applied Basic Project of Sichuan Province(No.2016JY0170)the Open Foundation of State Key Laboratory of Electronic Thin Films and Integrated Devices(No.KFJJ201611)the Key Program of Education Department of Sichuan Province(No.16ZA0007)the Fundamental Research Funds for the Central Universities(No.ZYGX2015J098)
文摘In this paper, two new existence and quasi-variational inequality problems are theorems of solutions to inverse variational proved using the Fan-Knaster-Kuratowski- Mazurkiewicz （KKM） theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.
基金supported by the National Natural Science Foundation of China(11301359,11171237)the Key Program of NSFC(70831005)
文摘In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differential inverse variational inequalities are obtained under different conditions. Some existence theorems of Caratheodory weak solutions for the differential inverse variational inequality are also established under suitable conditions. An application to the time-dependent spatial price equilibrium control problem is also given.
基金the National Natural Science Foundation of China(10271071)and the Academic Mainstay of Middle-age and Youth Foundation of Shandong Province.
文摘The main purpose of the present article is to establish some new strengthed and reversed Pachpatte's type inequalities. As applications, some new type Hilbert's inequlities are generalized and strengthened.
