DOI QR코드

DOI QR Code

MULTIOBJECTIVE VARIATIONAL PROGRAMMING UNDER GENERALIZED VECTOR VARIATIONAL TYPE I INVEXITY


Abstract

Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.

Keywords

References

  1. J. Math. Anal. Appl. v.166 Duality for multiobjective variational problems C.R.Bector;I.Husain
  2. Asia Pacific J. Oper. Res. v.10 On continuous programming with generalized convexity B.D.Craven
  3. J. Math. Anal. Appl. v.80 On. Sufficiency of Kuhn-Tucker conditions M.A.Hanson https://doi.org/10.1016/0022-247X(81)90123-2
  4. J. Math. Anal. Appl. v.261 Muliobjetive Programming under Generalized Type Ⅰ Invexity M.A.Hanson;R.Pini;C.Singh https://doi.org/10.1006/jmaa.2001.7542
  5. J. Austral. Math. Soc. Ser. B v.34 On generalized convex mathematical programming V.Jeyakumar;B.Mond https://doi.org/10.1017/S0334270000007372
  6. J. Optim. Theory Appl. v.80 Optimality criteria and duality in multiple objective optimization invoving generalized invexity R.N.Kaul;S.K.Suneja;M.K.Srivastava https://doi.org/10.1007/BF02207775
  7. J. Math. Anal. Appl. v.218 Symmetric duality for multiobjective variational problems with invexity D.S.Kim;S.K.Suneja;M.K.Srivastava https://doi.org/10.1006/jmaa.1997.5730
  8. J. Math. Anal. Appl. v.202 Generalized proper efficiency and duality for a class of nondifferentiable multiobjective variational problems with V-invexity S.K.Michra https://doi.org/10.1006/jmaa.1996.0302
  9. J. Math. Anal. Appl. v.134 duality for variational problems with in vexity B.Mond;S.Chandra;I.Husain https://doi.org/10.1016/0022-247X(88)90026-1
  10. Indian J. Pure Appl. Math. v.25 Sufficient optimality criteria and duality for multiobjective variational problems with B-Invexity R.N.Mukherjee;S.K.Michra
  11. J. Math. Anal. Appl. v.153 Optimality conditions and duality for al class of continuoustime programming problems with nonlineat operator equality and ineqality constraints G.J.Zalmai https://doi.org/10.1016/0022-247X(90)90216-3
  12. J. Math. Anal. Appl. v.196 Proper efficiency Conditions and duality models for constrained multiobjective variational problems containing arbitrary norms G.J.Zalmai https://doi.org/10.1006/jmaa.1995.1416