Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications.
Eshghinezhad, S., Fakhar, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Eshghinezhad, S., Fakhar, M. (2010)
Fixed Point Theory and Applications [electronic only]
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The notion of local completeness is extended to locally pseudoconvex spaces. Then a general version of the Borwein-Preiss variational principle in locally complete locally pseudoconvex spaces is given, where the perturbation is an infinite sum involving differentiable real-valued functions and subadditive functionals. From this, some particular versions of the Borwein-Preiss variational principle are derived. In particular, a version with respect to the Minkowski gauge of a bounded closed...
O. Hadžić, B. Stanković (1970)
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Colloquium Mathematicae
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