Partitionable Variational Inequalities with Multi-valued Mappings

Elisabetta Allevi (), Adriana Gnudi () and Igor Konnov ()
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Elisabetta Allevi: Brescia University
Adriana Gnudi: Bergamo University

A chapter in Generalized Convexity and Related Topics, 2007, pp 91-100 from Springer

Abstract: Summary We consider multi-valued variational inequalities defined on a Cartesian product of finite-dimensional subspaces. We introduce extensions of order monotonicity concepts for set-valued mappings, which are adjusted to the case where the subspaces need not be real lines. These concepts enable us to establish new existence and uniqueness results for the corresponding partitionable multi-valued variational inequalities. Following a parametric coercivity approach, we obtain convergence of the Tikhonov regularization method without monotonicity conditions.

Keywords: Partitionable variational inequalities; multi-valued mappings; order monotonicity; existence and uniqueness results; regularization method (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-37007-9_4

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DOI: 10.1007/978-3-540-37007-9_4

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