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A topological property of the common fixed points set of two multivalued operators
Authors:Alina Sîntămărian
Institution:Department of Mathematics, Technical University of Cluj-Napoca, Str. C. Daicoviciu Nr. 15, 400020 Cluj-Napoca, Romania
Abstract:Let (X,d)(X,d) be a complete metric space and absolute retract for metric spaces. We prove that the common fixed points set of two multivalued operators defined on XX, which have the selection property and satisfy a contraction type condition, is an absolute retract for metric spaces.
Keywords:47H04  47H10  54H25
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