Existence theorems for generalized set‐valued mixed (quasi‐)variational inequalities in Banach spaces

Existence theorems for generalized set‐valued mixed (quasi‐)variational inequalities in Banach spaces

0.00 Avg rating0 Votes
Article ID: iaor2013174
Volume: 55
Issue: 1
Start Page Number: 27
End Page Number: 51
Publication Date: Jan 2013
Journal: Journal of Global Optimization
Authors: ,
Keywords: sets
Abstract:

In this paper, utilizing the properties of the generalized f ‐projection operator and the well‐known KKM and Kakutani–Fan–Glicksberg theorems, under quite mide assumptions, we derive some new existence theorems for the generalized set‐valued mixed variational inequality and the generalized set‐valued mixed quasi‐variational inequality in reflexive and smooth Banach spaces, respectively. The results presented in this paper can be viewed as the supplement, improvement and extension of recent results in Wu and Huang (2009).

Reviews

Required fields are marked *. Your email address will not be published.