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SUN Yu-hua, XIE Tie-jun. Wolfe Duality for Programming Problems With B-(p,r)-Invexity Functions[J]. Journal of Beijing University of Technology, 2005, 31(6): 666-669. DOI: 10.3969/j.issn.0254-0037.2005.06.023
Citation: SUN Yu-hua, XIE Tie-jun. Wolfe Duality for Programming Problems With B-(p,r)-Invexity Functions[J]. Journal of Beijing University of Technology, 2005, 31(6): 666-669. DOI: 10.3969/j.issn.0254-0037.2005.06.023
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Wolfe Duality for Programming Problems With B-(p,r)-Invexity Functions

  • Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China

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  • Received Date: August 26, 2004
  • Available Online: November 21, 2022
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    • Abstract
  • B-(p,r)-invexity is a new generalized invex function. By using B-(p,r)-invexity functions, the wolfe dual of the multiobjective programming problems is considered, in which the objective and the constraint functions are differentiable. The weak, strong and strict converse duality results are established, these results are obtained under B-(p,r)-invexity assumptions on objective and the constraint functions. The work generalizes many results on programming problems with B-invexity functions, (p,r)-invexity functions and invex functions.
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    • References (13)
  • [1]
    HANSON M A.On sufficiency of the Kuhn-Tucker conditions[J].Journal of Mathematical Analysis and Applications, 1981,80:545-550.
    [2]
    DAS L N,NANDA S.Proper efficiency conditions and duality for multiobjective programming problems involving semilocally invex functions[J].Optimization,1995,34:43-51.
    [3]
    GOMEZ R O.Generalized conivexity in multiobjective programming[J].Journal of Mathematical Analysis and Applications, 1999,233:205-220.
    [4]
    EGUDO R R,HANSON M A.Multi-objective duality with invexity[J].Journal of Mathematical Analysis and Applications, 1987,126:469-477.
    [5]
    BECTOr C R,SINGH C.B-vex functions[J].Journal of Optimization Theory and Applications,1991,71; 237-253.
    [6]
    BECTOR C R.Duality for multiobjective vex programming involving n-set functions[J].Journal of Mathematical Analysis and Applications,1996,202:701-726.
    [7]
    MISHRA S K.On multiple-objective optimization with generalized univexity[J].Journal of Mathematical Analysis and Applications,1998,224:131-148.
    [8]
    BECTOR C R.Generalized B-vex programming[J].Journal of Optimization Theory and Applications,1993,76:561-587.
    [9]
    ANTCZAK T.On (p,r)-invexity-type nonlinear programming problems[J].Journal of Mathematical Analysis and Applications,2001,264:382-397.
    [10]
    ANTCZAK T.(p,r)-invex sets and functions[J].Journal of Mathematical Analysis and Applications,2001,263:355-379.
    [11]
    ANTCZAK T.(p,r)-invexity in multiobjective programming[J].European Journal of Operational Research,2004,152:72-78.
    [12]
    ANTCZAK T.A class of B-(p,r)-invex functions and mathematical programming[J].Journal of Mathematical Analysis and Applications,2003,286:187-206.
    [13]
    林锉云,董加礼.多目标优化的方法与理论[M].长春:吉林教育出版社,1992. LIN Cuo-yun,DONG Jia-li.Method and Theory of Multiobjective Optimization[M].Changchun:Jilin Education Press, 1992.(in Chinese)
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