Differentiable mappings on topological vector spaces
John Lloyd (1973)
Studia Mathematica
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Displaying similar documents to “Corrigenda to 'Differentiable mappings on topological vector spaces' (Studia Math 45(1972),pp. 147-160)”
Differentiable mappings on topological vector spaces
Mazur-like topological linear spaces and their products
Miroslav Hušek (1997)
Commentationes Mathematicae Universitatis Carolinae
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Topological linear spaces having the property that some sequentially continuous linear maps on them are continuous, are investigated. It is shown that such properties (and close ones, e.g., bornological-like properties) are closed under large products.
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Jiří Durdil (1986)
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Leonidas Tsitsas (1977)
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V. Pták (1954)
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Fixed-point theory on a Frechet topological vector space.
Ben Amar, Afif, Cherif, Mohamed Amine, Mnif, Maher (2011)
International Journal of Mathematics and Mathematical Sciences
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On a fixed point theorem for weakly sequentially continuous mapping
Ireneusz Kubiaczyk (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with...