On common fixed points in locally convex topological vector space.
Corréa Camargo, José Luíz (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Fixed point theorem of half-continuous mappings on topological vector spaces.”
On common fixed points in locally convex topological vector space.
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Given a nonempty convex set in a locally convex Hausdorff topological vector space, a nonempty set and two set-valued mappings , we prove that under suitable conditions one can find an which is simultaneously a fixed point for and a common point for the family of values of . Applying our intersection theorem we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems. ...
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