Some properties in nonsmooth analysis of perturbation function in vector optimization

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dc.authorid0000-0002-7847-5124en_US
dc.contributor.authorAgamaliyev, Agamali
dc.contributor.authorİlter, Serkan
dc.date.accessioned2024-07-12T20:56:16Z
dc.date.available2024-07-12T20:56:16Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractWe consider in this paper the following vector optimization problem max f(x) = (f1(x), ...fk(x)) , subjectto gi(x) ? yi, i = 1, ..., m, (1) hj (x) = yj , j = m + 1, ..., p, where f : R n ? R k , each gi : R n ? R, each hj : R n ? R , the variables y ? R p are perturbations near ¯y = 0 . For each y , the set of feasible solutions is S(y) = © .x ? R n : .gi(x) ? yi, hj (x) ? yj , i = 1, ..., m, j = m + 1, ..., p.ª . We assume that the objective and constraint functions of the problem (1) are smooth. The solution concepts for (1) that we will be concerned with is the notion of an ideal maximal (or strongly efficient) point. Our main aim in this paper is to investigate some properties in nonsmooth analysis of perturbation function (or marginal function).en_US
dc.identifier.citationAgamaliyev, A. ve İlter, S. (2009). Some properties in nonsmooth analysis of perturbation function in vector optimization. Maltepe Üniversitesi. s. 67.en_US
dc.identifier.endpage68en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage67en_US
dc.identifier.urihttps://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2943
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07667
dc.titleSome properties in nonsmooth analysis of perturbation function in vector optimizationen_US
dc.typeConference Object
dspace.entity.typePublication

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