An Existence Theorem for Quasi-Variational Inequalities

Allali Khalid; Bouchaib Radi; Abdelkhalak El Hami

doi:10.24297/jam.v10i6.1719

An Existence Theorem for Quasi-Variational Inequalities

Authors

Allali Khalid FacultÃ© des Sciences et Techniques de Settat
Bouchaib Radi FST Settat, BP : 577, Route de Casablanca, Settat, Morocco
Abdelkhalak El Hami LOFIMS, INSA de Rouen, BP: 8, Avenue de lâ€™UniversitÂ´e, 76801 St Etienne de Rouvray, France

DOI:

https://doi.org/10.24297/jam.v10i6.1719

Keywords:

Quasi-variational inequalities, variational inequalities, pseudomonotone, fixed point.

Abstract

A class of set-valued quasi-variational inequalities is studied in Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J. L. Lions [4]. In this paper we give a generalization of the existence theorem du to Kano et al [11] by proving the existence of a fixed point of the variational selection.

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Author Biography

Allali Khalid, FacultÃ© des Sciences et Techniques de Settat

DÃ©partement de MathÃ©matiques et Informatique

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Published

2015-05-22

How to Cite

Khalid, A., Radi, B., & El Hami, A. (2015). An Existence Theorem for Quasi-Variational Inequalities. JOURNAL OF ADVANCES IN MATHEMATICS, 10(6), 3582–3587. https://doi.org/10.24297/jam.v10i6.1719