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Systems of equilibrium problems with applications to new variants of Ekeland’s variational principle, fixed point theorems and parametric optimization problems

✍ Scribed by Lai-Jiu Lin; Wei-Shih Du


Publisher
Springer US
Year
2007
Tongue
English
Weight
228 KB
Volume
40
Category
Article
ISSN
0925-5001

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Some generalizations of Ekeland-type var
✍ S. Al-Homidan; Q.H. Ansari; J.-C. Yao 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 353 KB

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