On Weak Multifunction Equilibrium Problems

Adela Capătă (), Gábor Kassay () and Boglárka Mosoni ()
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Adela Capătă: Technical University of Cluj-Napoca
Gábor Kassay: Babeş-Bolyai University
Boglárka Mosoni: Babeş-Bolyai University

A chapter in Variational Analysis and Generalized Differentiation in Optimization and Control, 2010, pp 133-148 from Springer

Abstract: Abstract This chapter deals with an extended form of the scalar equilibrium problem called the weak multifunction equilibrium problem. New existence results are obtained in the general setting using a well-known separation theorem in infinite dimensional spaces. These results are applied for the particular case of real-valued multifunctions. Furthermore, two gap functions associated with the studied problems are constructed, where, for one of them, the Fenchel duality theory of optimization is used.

Keywords: Variational Inequality; Optimization Theory; Equilibrium Problem; Vector Optimization; Topological Vector Space (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0437-9_6

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DOI: 10.1007/978-1-4419-0437-9_6

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