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On the existence of solutions for the variational inequality problem V I(A, \psi, \phi,g;K)

Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-12-2_191

Index date: 2 December 2022

On the existence of solutions for the variational inequality problem V I(A, \psi, \phi,g;K) abstract

In this paper, we are concerned with the existence of a solution u 2 K for the variational inequality problem V I(A; \psi, \phi, g;K). Furthermore, we propose some conditions that ensure the well-posedness of this problem. We study an operator type g - ql which extends the linear problem. Finally, we investigate the existence of solutions for general vector variational inequalities in the inclusion form.

On the existence of solutions for the variational inequality problem V I(A, \psi, \phi,g;K) Keywords:

variational inequality , Type g-ql , GKKM mapping , well-posedness , Approximating sequence and Value cone set

On the existence of solutions for the variational inequality problem V I(A, \psi, \phi,g;K) authors

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Department of Mathematics, University of Mazandaran, Babolsar, IRAN

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PhD student Mathematics department, University of Mazandaran, Babolsar, Iran