Generalized Solutions of Multi-valued Monotone Quasi-variational Inequalities

Baasansuren Jadamba (), Akhtar A. Khan, Fabio Raciti () and Behzad Djafari Rouhani ()
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Baasansuren Jadamba: Rochester Institute of Technology
Akhtar A. Khan: Rochester Institute of Technology
Fabio Raciti: Universitàdi Catania
Behzad Djafari Rouhani: University of Texas at El Paso

A chapter in Optimization and Optimal Control, 2010, pp 227-240 from Springer

Abstract: Summary An ill-posed quasi-variational inequality with multi-valued maps can be conveniently formulated as a parameter identification problem on the graph of a variational selection. Using elliptic regularization for parametric variational inequalities, it is possible to pose another parameter identification problem that gives a stable approximation procedure for the ill-posed problem. The results are quite general and are applicable to ill-posed variational inequalities, inverse problems, split-feasibility problem, among others.

Keywords: quasi-variational inequalities; parameter identification; regularization; ill-posed; multi-valued monotone maps; inverse problems (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-89496-6_12

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