Fixed points and nonexpansive retracts in locally convex spaces
S. Naimpally, K. Singh, J. Whitfield (1984)
Fundamenta Mathematicae
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Displaying similar documents to “The sets of fixed points of families of affine continuous mappings”
Fixed points and nonexpansive retracts in locally convex spaces
On Nikaidô's proof of the invariant mean-value theorem
B. Pettis (1969)
Studia Mathematica
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A Fixed Point Theorem For A Class Of Mappings In Probabilistic Locally Convex Spaces
O. Hadžić (1977)
Publications de l'Institut Mathématique
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Fat equicontinuous groups of homeomorphisms of linear topological spaces and their application to the problem of isometries in linear metric spaces
P. Mankiewicz (1979)
Studia Mathematica
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Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
Abderrahim Jourani (1996)
Studia Mathematica
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We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.
Delta-convex mappings between Banach spaces and applications
L. L. Veselý, L. Zajíček
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We investigate delta-convex mappings between normed linear spaces. They provide a generalization of functions which are representable as a difference of two convex functions (labelled as 5-convex or d.c. functions) and are considered in many articles. We show that delta-convex mappings have many good differentiability properties of convex functions and the class of them is very stable. For example, the class of locally delta-convex mappings is closed under superpositions and (in some...
Action of topological semigroups, invariant means, and fixed points
Anthony To-Ming Lau (1972)
Studia Mathematica
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A counterexample to the article “On the fixed points of affine nonexpansive mappings”.
Saeidi, Shahram (2006)
International Journal of Mathematics and Mathematical Sciences
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A fixed point theorem for multivalued mappings in topological vector spaces
O. Hadžić, Lj. Gajić (1980)
Fundamenta Mathematicae
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Explicit Construction of Piecewise Affine Mappings with Constraints
Waldemar Pompe (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We construct explicitly piecewise affine mappings u:ℝ ⁿ → ℝ ⁿ with affine boundary data satisfying the constraint div u = 0. As an application of the construction we give short and direct proofs of the main approximation lemmas with constraints in convex integration theory. Our approach provides direct proofs avoiding approximation by smooth mappings and works in all dimensions n ≥ 2. After a slight modification of our construction, the constraint div u = 0 can be turned into det Du...
Fixed point theorem of half-continuous mappings on topological vector spaces.
Termwuttipong, Imchit, Kaewtem, Thanatkrit (2010)
Fixed Point Theory and Applications [electronic only]
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On the fixed points of affine nonexpansive mappings.
Duru, Hülya (2001)
International Journal of Mathematics and Mathematical Sciences
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