On Fixed-Point Free Selections and Multivalued Maps on R

Dennis K. Burke, Raushan Buzyakova


We study fixed-point free multivalued selfmaps on R as well as continuous fixed-point free selection of multivalued selfmaps on R. We justify necessary conditions in some earlier results and motivate some new interesting questions.


fixed-point free map; hyperspace; multivalued map

Subject classification

54H25; 58C30; 54B20

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Universitat Politècnica de València

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