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on nonsmooth (φ, ρ)-invex multiobjective programming in finite-dimensional euclidean spaces
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نویسنده
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antczak tadeusz
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منبع
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journal of advanced mathematical studies - 2014 - دوره : 7 - شماره : 1 - صفحه:127 -145
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چکیده
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In this paper, a nonconvex nonsmooth multiobjective programming problem with both inequality and equality constraints is considered. under nondifferentiable (φ, ρ)-invexity notion, optimality conditions and duality results in the sense of mond- weir are established for such nonsmooth vector optimization problems. it turns out that the results developed here under (φ, ρ)-invexity are applicable for a larger class of multiobjective programming problems than under generalized convexity notions existing in the literature.
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کلیدواژه
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nonsmooth mutiobjective programming ,properly efficiency ,nonsmooth (φ ,ρ)-invexity ,optimality conditions ,mond-weir duality
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آدرس
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university of lodz, faculty of mathematics and computer science, poland
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پست الکترونیکی
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antczak@math.uni.lodz.pl
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Authors
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