Abstract

We first prove that the product of a family of LΓ -spaces is also an LΓ -space. Then, by using a Himmelberg type fixed point theorem in LΓ -spaces, we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in LΓ -spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium problems to optimization problems are given in LΓ -spaces.

Details

Title
Systems of Generalized Quasivariational Inclusion Problems with Applications in L[Gamma] -Spaces
Author
Ming-ge, Yang; Xu, Jiu-ping; Nan-jing Huang
Publication year
2011
Publication date
2011
Publisher
Springer Nature B.V.
ISSN
16871820
e-ISSN
16871812
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
855723393
Copyright
Copyright © 2011 Ming-ge Yang et al. Ming-ge Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.