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http://dx.doi.org/10.4134/CKMS.2003.18.4.587

벡터 볼록 최적화 문제를 위한 벡터 변분부등식  

이규명 (부경대학교 자연과학대학 수리과학부)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 587-602 More about this Journal
Keywords
벡터 변분부등식;볼록 함수;벡터 볼록 최적화 문제;해집합;섭동된 벡터 강 볼록 최적화 문제;섭동된 강 단조 벡터 변분부등식;안정성;
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Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Remarks on relations between vector variational inequality and vector optimization problem /
[ G.M.Lee;M.H.Kim ] / Nonlinear Anal. TMA.   DOI   ScienceOn
2 /
[ J.Jahn ] / Mathematical Vector Optimization in Partially Ordered Linear Spaces
3 A vector variational inequality and optimization over an efficient set /
[ G.Y.Chen;B.D.Craven ] / Z. Oper. Res.
4 On the stability of generalized vector quasi-variational inequality problems /
[ S.J.Li;G.Y.Chen;K.L.Teo ] / J. Optim. Theory Appl.   DOI   ScienceOn
5 Vector variational inequality as a tool for studying vector optimization problems /
[ G.M.Lee;D.S.Kim;B.S.Lee;N.D.Yen ] / Nonlinear Anal. TMA.   DOI   ScienceOn
6 Generalized convex functions and vector variational inequalities /
[ X.Q.Yang ] / J. Optim. Theory Appl.   DOI   ScienceOn
7 Generalized vector variational inequality and fuzzy extension /
[ G.M.Lee;D.S.Kim;B.S.Lee;S.J.Cho ] / Appl. Math. Lett.
8 Theorems of alternative, quadratic program and complementarity problems /
[ F.Giannessi;R.W.Cottle(ed.);F.Giannessi(ed.);J.L.Lions(ed.) ] / Variational Inequality and Complementarity Problems
9 New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs /
[ V.Jeyakumar;G.M.Lee;N.D.Dinh ] / SIAM J. Optim.
10 On generalized vector quasi-variational inequalities /
[ W.K.Kim;K.K.Tan ] / Optim.   DOI   ScienceOn
11 /
[ G.M.Lee;K.B.Lee ] / Vector variational inequalities for nondifferentiable convex vector optimization problems   DOI
12 Vector variational inequality and its duality /
[ X.Q.Yang ] / Nonlinear Anal.TMA.   DOI   ScienceOn
13 On second order necessary optimality conditions for vector optimization problems /
[ G.M.Lee;M.H.Kim ] / J. Korean Math. Soc.   과학기술학회마을   DOI   ScienceOn
14 Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and Weak Pareto-optimal Alternatives /
[ A.R.Warburton ] / J. Optim. Theory Appl.   DOI   ScienceOn
15 On relations between vector optimization problems and vector variational inequalities /
[ D.E.Ward;G.M.Lee ] / J. Optim. Theory Appl.   DOI   ScienceOn
16 Existence theorems for vector variational inequalities /
[ A.Daniilidis;N.Hadjisavvas ] / Bull. Austral. Math. Soc.   DOI
17 On relations between vector variational inequality and vector optimization problem /
[ G.M.Lee;X.Q.Yang(ed.);A.I.Mees(ed.);M.E.Fisher(ed.);L.S.Jennings(ed.) ] / Progress in Optimization
18 On vector variational inequality /
[ A.H.Siddiqi;Q.H.Aansari;R.Ahmad ] / J. Optim. Theory Appl.   DOI   ScienceOn
19 Existence of solutions for vector optimization problems /
[ G.M.Lee;D.S.Kim;H.Kuk ] / J. Math. Anal. Appl.   DOI   ScienceOn
20 Network equilibrium with Vector costs and nonlinear scalarization methods /
[ G.Y.Chen;C.J.Goh;X.Q.Yang ] / Math. Methods Oper. Res.
21 Vector variational inequality and vector pseudolinear programming /
[ X.Q.Yang ] / J. Optim. Theory Appl.   DOI   ScienceOn
22 On Minty variational principle /
[ F.Giannessi;F.Giannessi(ed.);S.Komlosi(ed.);T.Rapcsak(ed.) ] / New Trends in Mathematical Programming
23 On vector variational inequalitis /
[ S.Y.Yu;J.C.Yao ] / J. Optim. Theory Appl.   DOI   ScienceOn
24 From scalar to vector equilibrium problems in the quasimonotone case /
[ N.Hadjisavvas;S.Schaible ] / J. Optim. Theory Appl.   DOI   ScienceOn
25 Generalized vector-valued variational inequalities and fuzzy extension /
[ B.S.Lee;G.M.Lee;D.S.Kim ] / J. Korean Math. Soc.   과학기술학회마을
26 Existence of solutions for a vector variational inequality: an extension of the Hartmann-Stampacchia theorem /
[ G.Y.Chen ] / J. Optim. Theory Appl.   DOI
27 /
[ Y.Sawaragi;H.Nakayama;T.Tanino ] / Theory of Multiobjective Optimization
28 Dual conditions characterizing optimality for convex multi-objective programs /
[ B.M.Glover;V.Jeyakumar;A.M.Rubinov ] / Math. Programming   DOI
29 Existence and continuity of solutions for vector optimization /
[ G.Y.Chen;B.D.Craven ] / J. Optim. Theory. Appl.   DOI   ScienceOn
30 The vector complementary problem and its equivalences with the weak minimal element in ordered spaces /
[ G.Y.Chen;X.Q.Yang ] / J. Math. Anal. Appl.   DOI
31 Existence of solutions to implicit vector variational inequalities /
[ Y.Chiang;O.Chadli;J.C.Yao ] / J. Optim. Theory Appl.   DOI   ScienceOn
32 Proper efficiency and the theory of vector maximization /
[ A.M.Geoffrion ] / J. Math. Anal. Appl.   DOI
33 Vector variational inequality and vector optimization, Toward Interactive and Intelligent Decision Support Systems /
[ G.Y.Chen;G.M.Cheng;Y.Sawaragi(ed.);K.Inoue(ed.);H.Nakayama(ed.) ] / Lecture Notes in Economics and Mathematical Systems   DOI
34 Theory of Vector Optimization /
[ D.T.Luc ] / Lecture Notes in Economics and Mathematical Systems
35 Vector variational inequalities involving vector maximal points /
[ M.H.Kim;S.H.Kum;G.M.Lee ] / J. Optim. Theory Appl.   DOI   ScienceOn
36 A vector version of Minty's lemma and application /
[ B.S.Lee;G.M.Lee ] / Appl. Math. Lett.
37 On the upper semicontinuity wit respect to parameters of solutions to vector quasi-variational inequalities and applications /
[ P.H.Khanh;L.M.Luu ] / J. Global Optim.
38 A result on vector variational inequalities with poly-hedral constraint sets /
[ G.M.Lee;N.D.Yen ] / J. Optim. Theory Appl.   DOI   ScienceOn
39 /
[ G.M.Lee;K.B.Lee ] / On optimality conditions for convex vector optimization without constraint qualifications
40 /
[ R.T.Rockafellar ] / Convex Analysis
41 Vector variational inequalities and modelling of a continuum traffic equilirium problem /
[ P.Daniele;A.Maugeri;F.Giannessi(ed.) ] / Vector Variational Inequalities and Vector Equilibria
42 On the generalized vector variational inequality problem /
[ I.V.Konnov;J.C.Yao ] / J. Math. Anal. Appl.   DOI   ScienceOn
43 Vector variational inequalities, vector equilibrium flow and vector optimization /
[ X.Q.Yang;C.J.Goh;F.Giannessi(ed.) ] / Vector Variational Inequalities and Vector Equilibria
44 On vector variational inequalities: application to vector equilibria /
[ X.Q.Yang;C.J.Goh ] / J. Optim. Theory Appl.   DOI   ScienceOn
45 /
[ J.B.Hiriart-Urruty;C.Lamarechal ] / Convex Analysis and Minimization Algorithms
46 Simultaneous vector variational inequalities and vector implicit complementarity problem /
[ J.Fu ] / J. Optim. Theory. Appl.   DOI   ScienceOn
47 Scalarization methods for vector variational inequality /
[ C.J.Goh;X.Q.Yang;F.Giannessi(ed.) ] / Vector Variational Inequalities and Vector Equilibria
48 Remarks on implicit vector variatinal inequalities /
[ S.H.Kum;G.M.Lee ] / Taiwanese J. Math.   DOI
49 On vector quasivariational inequalities /
[ G.M.Lee;B.S.Lee;S.S.Chang ] / J. Math. Anal. Appl.   DOI   ScienceOn
50 On monotone and strongly monotone vector variational inequalities /
[ N.D.Yen;G.M.Lee;F.Giannessi(ed.) ] / Vector Variational Inequalities and Vector Equilibria
51 An existence result for implicit vector variational inequality with multifunctions /
[ S.H.Kum;G.M.Lee;J.C.Yao ] / Appl. Math. Lett.   DOI   ScienceOn
52 On implicit vector variational inequalities /
[ G.M.Lee;S.H.Kum ] / J. Optim. Theory Appl.   DOI   ScienceOn
53 Strong and weak convexity of sets and functions /
[ J.P.Vial ] / Math. Oper. Res.   DOI