Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces

Authors
He,Yi Ran Mao, Xiu Zhen Zhou, Mi
Citation
He,yi Ran et al., Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces, Acta mathematica Sinica. English series (Print) , 23(3), 2007, pp. 563-570
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
3
Year of publication
2007
Pages
563 - 570
Database
ACNP
SICI code
Abstract
Strict feasibility is proved to be an equivalent characterization of (dual) variational inequalities having a nonempty bounded solution set, provided the mappings involved are stably properly quasimonotone. This generalizes an earlier result from finite-dimensional Euclidean spaces to infinitedimensional reflexive Banach spaces. Moreover, the monotonicity-type assumptions are also mildly relaxed.