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A class of semilocal E-preinvex functions and its applications in nonlinear programming
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نویسنده
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jiao h. ,liu s. ,pai x.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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A kind of generalized convex set,called as local star-shaped e-invex set with respect to η,is presented,and some of its important characterizations are derived. based on this concept,a new class of functions,named as semilocal e-preinvex functions,which is a generalization of semi-e-preinvex functions and semilocal e-convex functions,is introduced. simultaneously,some of its basic properties are discussed. furthermore,as its applications,some optimality conditions and duality results are established for a nonlinear programming. copyright © 2012 hehua jiao et al.
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آدرس
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college of science,xidian university,xi'an,shanxi 710071,china,college of mathematics and computer science,yangtze normal university,fuling, China, college of science,xidian university,xi'an, China, college of science,xidian university,xi'an,shanxi 710071,china,department of mathematics,china university of petroleum,qingdao, China
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Authors
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