CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H—SPACES

(整期优先)网络出版时间:2003-05-15
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AnewclassofconstrainedmultiobjectivegameswithinfiniteplayersinnoncompactlocallyconvexH-spaceswithoutlinearstructureareintroducedandstudied.ByapplyingaFan-Glicksbergtypefixedpointtheoremforuppersemicontinuousset-valuedmappingswithclosedacyclicvaluesandamaximumtheorem,severalexistencetheoremsofweightedNath-equilibriaandParetoequilibriafortheconstrainedmultiobjectivegamesareprovedinnoncompactlocallyconvexH-spaces.Thesetheoremsimprove,unifyandgeneralizethecorrespondingresultsofthemultiobjectivegamesinrecentliteratures.