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A Generalized Variational Principle and Its Application to Equilibrium Problems

✍ Scribed by Farkas, Csaba; Molnár, Andrea Éva

Book ID
118262111
Publisher
Springer
Year
2012
Tongue
English
Weight
662 KB
Volume
156
Category
Article
ISSN
0022-3239

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In this paper, we introduce the concept of a Q-function defined on a quasi-metric space which generalizes the notion of a τ -function and a w-distance. We establish Ekeland-type variational principles in the setting of quasi-metric spaces with a Q-function. We also present an equilibrium version of