简介：

简介：Anintegralanalyticprocessfromquantificationtopropagationbasedonlimiteduncertainparametersisinvestigatedtodealwithpracticalengineeringproblems.Anewmethodbyuseofthesmallestinterval-set/hyper-rectanglecontainingallexperimentaldataisproposedtoquantifytheparameteruncertainties.Withthesmallestparameterinterval-set,theuncertaintypropagationevaluationofthemostfavorableresponseandtheleastfavorableresponseofthestructuresisstudiedbasedontheintervalanalysis.Therelationshipbetweentheproposedintervalanalysismethod(IAM)andtheclassicalIAMisdiscussed.Twonumericalexamplesarepresentedtodemonstratethefeasibilityandvalidityoftheproposedmethod.

简介：Anewbilevelgeneralizedmixedequilibriumproblem(BGMEP)isintroducedandstudiedintopologicalvectorspaces.Byusingaminimaxinequality,theexistenceofsolutionsandthebehaviorofsolutionsetfortheBGMEParestudiedunderquitemildconditions.Theseresultsarenewandgeneralizesomerecentresultsinthisfield.

简介：Aprojectedsubgradientmethodforsolvingaclassofset-valuedmixedvariationalinequalities(SMVIs)isproposedwhenthemappingisnotnecessarilyLipschitz.Undersomesuitableconditions,itcanbeproventhatthesequencegeneratedbythemethodcanstronglyconvergetotheuniquesolutiontotheproblemintheHilbertspaces.