向量優(yōu)化問題弱有效解集非空有界性的刻畫及其應(yīng)用.pdf

1、復(fù)旦大學(xué)碩士學(xué)位論文向量優(yōu)化問題弱有效解集非空有界性的刻畫及其應(yīng)用姓名：張亞琴申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：運(yùn)籌學(xué)與控制論指導(dǎo)教師：黃學(xué)祥20090420AbstractWefirstcharacterizethenonemptinessandcompactnessoftheweaklyefficientsolutionsetofaconeconstrainedconvexvectoroptimizationprobleminafinited

2、imensionalspacewhentheobjectivespaceisorderedbysomenontrivialpolyhedralcone，andapplythecharacterizationstotheconvergenceanalysisofaclassofpenaltymethodsThen，wecharacterizethenonemptinessandboundednessoftheweaklyefficient

3、solutionsetofaconeconstrainedconvexvectoroptimizationprobleminaninfinitedimensionalreflexiveBanachspaceWbalsoapplythecharacterizationstotheconvergenceanalysisofaclassofpenaltymethodsFurthermore，wewillconsidertheconvexrec

4、toroptimizationproblemwhentheobjectivespace驢isorderedbyanontrivial，polyhedralconewithnonemptyinteriorinsteadofthenonnegativeorthantR2Also，wewillcharacterizethenonemptinessandboundednessoftheweaklyefficientsolutionsetofth

5、eaboveconvexvectoroptimizationproblem，especiallyaconeconstrainedconvexvectoroptimizationproblemininfinitedimensionalrealreflexiveBanachspacesMoreover，wewillapplythecharacterizationstotheconvergenceanalysisofaclassofpenal