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- W2155359095 abstract "We consider a nonsmooth multiobjective programming problem where the functions involved are nondifferentiable. The class of univex functions is generalized to a far wider class of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mo stretchy=false>(</mml:mo><mml:mi>φ</mml:mi><mml:mo>,</mml:mo><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo>,</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>- V -type I univex functions. Then, through various nontrivial examples, we illustrate that the class introduced is new and extends several known classes existing in the literature. Based upon these generalized functions, Karush-Kuhn-Tucker type sufficient optimality conditions are established. Further, we derive weak, strong, converse, and strict converse duality theorems for Mond-Weir type multiobjective dual program." @default.
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- W2155359095 date "2014-05-22" @default.
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- W2155359095 title "Sufficiency and Duality in Nonsmooth Multiobjective Programming Problem under Generalized Univex Functions" @default.
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- W2155359095 doi "https://doi.org/10.1155/2014/904640" @default.
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