Duality in fractional programming involving locally arcwise connected and related functions

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dc.contributor.authorStancu-Minasian, I.M.
dc.contributor.authorCaballero Roldán, Rafael
dc.contributor.authorCerdá Tena, Emilio Jaime
dc.contributor.authorMuñoz Martos, María del Mar
dc.date.accessioned2023-06-21T01:45:32Z
dc.date.available2023-06-21T01:45:32Z
dc.date.issued2002-07
dc.descriptionMathematics Subject Classification 2000 : Primary : 90 C 32; Secondary : 26 B 25
dc.description.abstractA nonlinear fractional programming problem is considered, where the functions involved are diferentiable with respect to an arc. Necessary and suficient optimality conditions are obtained in terms of the right diferentials with respect to an arc of the functions. A dual is formulated and duality results are proved using concepts of locally arcwise connected, locally Q-connected and locally P-connected functions
dc.description.facultyFac. de Ciencias Económicas y Empresariales
dc.description.facultyInstituto Complutense de Análisis Económico (ICAE)
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/7655
dc.identifier.relatedurlhttps://www.ucm.es/icae
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64495
dc.issue.number05
dc.language.isoeng
dc.page.total20
dc.publication.placeMadrid
dc.publisherInstituto Complutense de Análisis Económico. Universidad Complutense de Madrid
dc.relation.ispartofseriesDocumentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)
dc.rights.accessRightsopen access
dc.subject.keywordGeneralized convexity
dc.subject.keywordFractional programming
dc.subject.keywordOptimality conditions
dc.subject.keywordDuality
dc.subject.ucmEconometría (Economía)
dc.subject.unesco5302 Econometría
dc.titleDuality in fractional programming involving locally arcwise connected and related functions
dc.typetechnical report
dc.volume.number2002
dcterms.referencesM.Avriel and I.Zang : Generalized arcwise-connected functions and characterizations of local-global minimum properties. J.Optim.Theory Appl. 32(1980)4, 407-425. G.M.Ewing: Su±cient conditions for global minima of suitably convex functions from variational and control theory. SIAM Rev. 19 (1977) 2, 202-220. R.N.Kaul and Surjeet Kaur: Generalizations of convex and related functions. European J.Oper. Res. 9 (1982), 369-377. R.N.Kaul and Surjeet Kaur: Su±cient optimality conditions using generalized convex functions. Opsearch 19 (1982) 4, 212-224. R.N.Kaul and Surjeet Kaur: Generalized convex functions - properties, optimality and duality. Technical report SOL, 84-4, Stanford University, California, 1984. R.N.Kaul and Vinod Lyall : Locally connected functions and optimality. Indian J. Pure Appl. Math. 22(1991)2, 99-108. R.N.Kaul, Vinod Lyall and Surjeet Kaur : Locally connected set and functions. J.Math.Anal.Appl. 134(1988)1, 30-45. V.Lyall, S.K.Suneja and Sunila Aggarwal : Fritz John optimality and duality for non-convex programs. J. Math. Anal. Appl. 212(1997)1, 38-50. V.Lyall, S.Suneja and S.Aggarwal : Optimality and duality in fractional programming involving semilocally convex and related functions. Optimization 41(1997) 3, 237-255. O.L.Mangasarian : Nonlinear Programming, McGraw-Hill Book Company, New York, 1969. V. Preda, I.M. Stancu-Minasian and A. B¸at¸atorescu: Optimality and duality in nonlinear programming involving semilocally preinvex and related functions. J. Inform. Optim. Sci. 17(1996) 3, 585-596. V. Preda and I.M. Stancu-Minasian: Duality in multiple objective programming involving semilocally preinvex and related functions. Glasnik Mathemati �cki. 32 (52) (1997) 1, 153-165. I.M.Stancu-Minasian : Fractional Programming. Theory, Methods and Applications. Kluwer Academic Publishers, Dordrecht, 1997. I.M.Stancu-Minasian : Optimality conditions and duality in fractional programming involving semilocally preinvex and related functions. (submitted). S.K.Suneja and Sudha Gupta: Duality in nonlinear programming involving semilocally convex and related functions. Optimization 28 (1993) 1, 17-29.
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relation.isAuthorOfPublication.latestForDiscovery175b0308-6eb3-4282-b17d-221c851b2595

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