Split general quasi-variational inequality problem

2013/08/13 by Kaleem Raza Kazmi, Kazmi, Kaleem Raza
Mathematics · #65K10 #90C25 #FOS: Mathematics #Optimization and Control (math.OC) #Primary 47J53 #Secondary 49M37 #math.OC #msc:47J53 #msc:49M37 #msc:65K10 #msc:90C25

paper · pdf · doi:10.48550/arxiv.1308.2750

arxiv created 2013/08/13 · arxiv updated 2013/08/14

Abstract

In this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of split variational inequality problem, quasi-variational and variational inequality problems in Hilbert spaces. Using projection method, we propose an iterative algorithm for the split general quasi-variational inequality problem and discuss some its special cases. Further, we discuss the convergence criteria of these iterative algorithms. The results presented in this paper generalize, unify and improve the previously known many results for the quasi-variational and variational inequality problems.

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