On Variational-like Inequalities with Generalized Monotone Mappings

Vasile Preda (), Miruna Beldiman () and Anton Bătătorescu ()
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Vasile Preda: University of Bucharest
Miruna Beldiman: University of Bucharest
Anton Bătătorescu: University of Bucharest

A chapter in Generalized Convexity and Related Topics, 2007, pp 415-431 from Springer

Abstract: Summary We consider two new classes of generalized relaxed α-monotone and semimonotone functions and using the KKM technique we prove the existence of solutions for variational-like inequalities relative to these types of mappings in Banach spaces. Several examples and special cases are also considered.

Keywords: Variational-like inequality; generalized monotone mapping; KKM Theorem; coercivity; semicontinuity (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_25

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DOI: 10.1007/978-3-540-37007-9_25

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