Fixed points theorems for -valued multifunctions.
Stouti, A., Maaden, A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Displaying similar documents to “Fixed points and generalized vector equilibra in general topological spaces.”
Fixed points theorems for -valued multifunctions.
Study of -closed sets and the related notions in topological spaces.
Caldas, M., Georgiou, D.N., Jafari, S. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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The Idzik type quasivariational inequalities and noncompact optimization problems
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Some properties of -convexity.
Suo, Hongmin (2009)
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Uniform boundedness principles for ordered topological vector spaces.
Zhong, Shuhui, Li, Ronglu (2011)
Annals of Functional Analysis (AFA) [electronic only]
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On localizing global Pareto solutions in a given convex set
Agnieszka Drwalewska, Lesław Gajek (1999)
Applicationes Mathematicae
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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...
The fixed point property in convex multi-objective optimization problem.
Slavov, Zdravko Dimitrov (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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The fixed point index for noncompact mappings in non locally convex topological vector spaces
Holger Alex, Siegfried Hahn, Lothar Kaniok (1994)
Commentationes Mathematicae Universitatis Carolinae
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We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.
Tietze Extension Theorem for n-dimensional Spaces
Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...