Fixed point index and ejective fixed points of compact absorbing contraction multivalued mappings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33154563" target="_blank" >RIV/61989592:15310/15:33154563 - isvavai.cz</a>
Result on the web
<a href="http://www.ybook.co.jp/online-p/JNCA/Open/16/jncav16n6p1013-oa/FLASH/index.html" target="_blank" >http://www.ybook.co.jp/online-p/JNCA/Open/16/jncav16n6p1013-oa/FLASH/index.html</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Fixed point index and ejective fixed points of compact absorbing contraction multivalued mappings
Original language description
At first we shall generalize the fixed point index from the case of compact admissible mappings to the case of compact absorbing contraction multivalued mappings defined on arbitrary absolute neighbourhood retracts (ANR-spaces). Then we formulate, in terms of the Lefschetz number and the fixed point index, necessary conditions for the existence of ejective fixed points and sufficient conditions for the existence of non-ejective fixed points, for the above class of mappings defined on ANR-spaces. Note that some results are presented for a larger class of spaces so called absolute neighbourhood multiretracts (ANMR-spaces).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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