On Variational Inequalities Involving Mappings of Type (S)

Dan Pascali ()
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Dan Pascali: Courant Institute of Mathematical Sciences, New York University

Chapter Chapter 27 in Nonlinear Analysis and Variational Problems, 2010, pp 441-449 from Springer

Abstract: Abstract Variational inequalities can be converted into inclusions defined by a sum between a mapping of monotone type and a subdifferential. In our case, a topological approach of variational inequalities is based on a degree function for a (S)-operator F with maximal monotone perturbations T. The paper surveys some new advances on topological degree in the case F+T, removing the condition 0∈T(0). In this way, the main difficulty is to determine the admissible homotopies. A graph homotopy for maximal monotone mappings is introduced. Finally, we mention some recent references regarding the related fixed point index.

Keywords: Variational Inequality; Maximal Monotone; Point Index; Separable Banach Space; Topological Degree (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_27

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DOI: 10.1007/978-1-4419-0158-3_27

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