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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 12
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Articles

Characterizations of solution sets for parametric multiobjective optimization problems

Pages 2457-2467 | Received 19 May 2012, Accepted 07 Oct 2012, Published online: 09 Nov 2012

References

  • Rockafellar , RT . 1976 . Monotone operators and the proximal point algorithm . SIAM J. Control Optim. , 14 : 877 – 898 .
  • Tikhonov , AN . 1963 . Solution of in correctly formulated problems and regularization method . Sov. Math. Dokl. , 4 : 1035 – 1038 .
  • Mainge , PE . 2008 . A hybrid extragradient-viscosity method for monOtone operAtors and fixed point problems . SIAM J. Control Optim. , 47 : 1499 – 1515 .
  • Auslender , A . 1996 . Noncoercive optimization problem . Math. Oper. Res. , 21 : 769 – 781 .
  • Auslender , A . 1999 . Asymptotic analysis for penalty and barrier methods in variational inequalities . SIAM J. Control Optim. , 37 : 653 – 671 .
  • Auslender , A and Correa , R . 2000 . Primal and dual stability results for variational inequalities . Comput. Optim. Appl. , 17 : 117 – 130 .
  • Auslender , A and Teboulle , M . 2003 . Asymptotic Cones and Functions in Optimization and Variational Inequalities , New York : Springer-Verlag .
  • Chen , GY , Huang , XX and Yang , XQ . 2005 . Vector Optimization: Set-valued and Variational Analysis, Lecture Notes in Economics and Mathematical Systems , Vol. 541 , Berlin : Springer-Verlag .
  • Jahn , J . 2004 . Vector Optimization: Theory, Applications and Extensions , Berlin : Springer-Verlag .
  • Luc , TD . 1989 . Theory of Vector Optimization, Lecture Notes in Economics and Mathematical Systems , Vol. 319 , Berlin : Springer-Verlag .
  • Sawaragi , Y , Nakayama , H and Tanino , T . 1985 . The Theory of Multiobjective Optimization , New York : Academic Press .
  • Deng , S . 1998 . Characterzations of nonemptiness and compactness of solutions sets in convex optimization . J. Optim. Theory Appl. , 96 : 123 – 131 .
  • Huang , XX and Yang , XQ . 2001 . Characterizations of nonemptiness and compactness of the set of weakly efficient solutions for convex vector optimization and applications . J. Math. Anal. Appl. , 264 : 270 – 287 .
  • Flores-Bazan , F . 2002 . Ideal, weakly efficient solutions for vector problems . Math. Program. , 93 : 453 – 475 .
  • Huy , NQ , Mordukhovich , BS and Yao , JC . 2008 . Coderivatives of frontier and solution maps in parametric multiobjective optimization . Taiwan. J. Math. , 12 : 2083 – 2111 .
  • Chuong , TD . 2011 . Clarke coderivatives of efficient point multifunctions in parametric vector optimization . Nonlinear Anal. Theory Methods Appl. , 74 : 273 – 285 .
  • Chuong , TD and Yao , JC . 2009 . Coderivatives of efficient point multifunctions in parametric vector optimization . Taiwan. J. Math. , 13 : 1671 – 1693 .
  • Rockafellar , RT and Wets , JB . 1998 . Variational Analysis , Berlin : Springer .

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