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Fixed points of subopen multifunctions

1982
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Proceedings of the American Mathematical Society
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A fixed point theorem of the Lefschetz type is proved for subopen (e.g., open-graph) multifunctions. A coincidence version is also given. The fixed point theorem of [5, 6] is generalized here to fixed point theorems of the Lefschetz type. The following will be proved (see § 1 for terminology). 3.2 Theorem. Let X be a compact finite-dimensional ANR and m: X -^> X a subopen multifunction with infinitely connected values. Then the Lefschetz number L(m) = "Z™=0(-l)qtr(mq) is defined and if L(m) =£

doi:10.1090/s0002-9939-1982-0640246-x
fatcat:2pshvd2u3vbcfai4qpkfpvyxwy