Walrasian均衡的隨機模糊化推廣.pdf

1、四川大學(xué)碩士學(xué)位論文Walrasian均衡的隨機模糊化推廣姓名：陸玨申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：黃南京20060226AspreadofWalrasianequilibriumwithrandomnessandfuzzinessMajor：AppliedMathematicsAuthor：JueLuSupervisor：NanjingHuangInthispaperweintroduceandstudyaclassofse

2、tvaluedgeneralizedquasivariationalinequalitiesasfollowswithnoncompaetvaluedrandomfuzzymappings(w(t)a(t，u(t))，口一g(t，u(t)，yO)))≥0，Ⅵ∈Q，vt，∈K(t，t‘O))，w(t)∈(瓦。o))?？?t))，可O)∈(&。“”)Mu(”)，gCt，亂(t)，Ⅳ(t))∈Kp，u(t))，K(t，Ⅱ(t))=m(t，u(

3、t))KwhereZSaletworandomfuzzymappingsandA，g，marcthreerandomoperatorsConsideringtherandomnessandfuzziness，thiskindofvariationalinequalitiesisintroducedasaspreadofvariationalinequalityformulationofWalrasionequilibriumwithth

4、esetWOindeterminatefactorsToobtainasolutionofthisproblem，WecanUansformitintoafixpointproblemofsetvaluedwithrandomfuzzymappingsbyTheorem31AniterafivealgorithminAlgorithm31fortheproblemisgivenasunl(t)=t‘’l(t)一g(t，‰(t)，‰(￡)

5、)m(t，un(t))eKb(t，t‘，I(t)，y。Ct))一m(t，t‘rI(￡))一p(t)(‰(t)A(t，‰(t)))JWegetaconclusionofthiskindofvariationalinequalitiesbydiscussingtheexisgengeofthisfixpointprobleminTheorem32Algorithm31isasuccessivemethodinsolvingthiskindo