• 제목/요약/키워드: $d$-type-I univex functions

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ON SUFFICIENCY AND DUALITY IN MULTIOBJECTIVE SUBSET PROGRAMMING PROBLEMS INVOLVING GENERALIZED $d$-TYPE I UNIVEX FUNCTIONS

  • Jayswal, Anurag;Stancu-Minasian, I.M.
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.111-125
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    • 2012
  • In this paper, we introduce new classes of generalized convex n-set functions called $d$-weak strictly pseudo-quasi type-I univex, $d$-strong pseudo-quasi type-I univex and $d$-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized $d$-type-I univexity conditions.