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