Commun. Korean Math. Soc. 2017; 32(4): 933-957
Online first article August 25, 2017 Printed October 31, 2017
https://doi.org/10.4134/CKMS.c170002
Copyright © The Korean Mathematical Society.
Yeol Je Cho, Mohammad S. R. Chowdhury, Je Ai Ha
Gyeongsang National University, University of Management and Technology (UMT), Gyeongsang National University
In this paper, we prove some existence results of solutions for a new class of generalized bi-quasi-variational-like inequalities (GBQVLI) for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. To obtain our results on GBQVLI for ($\eta$-$h$)-quasi-pseudo-monotone type I and strongly ($\eta$-$h$)-quasi-pseudo-monotone type I operators, we use Chowdhury and Tan's generalized version of Ky Fan's minimax inequality as the main tool.
Keywords: generalized bi-quasi-variational-like inequalities, ($\eta$-$h$)-quasi-pseudomonotone type I operators, locally convex Hausdorff topological vector spaces
MSC numbers: 49J30, 47H10, 47H17, 49M05
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