Stancu-Minasian, I.M. and Caballero, R. and Cerdá Tena, Emilio and Muñoz, María del Mar (2002) Duality in fractional programming involving locally arcwise connected and related functions. [Working Paper or Technical Report]
Official URL: http://eprints.ucm.es/7655/
A 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
|Item Type:||Working Paper or Technical Report|
|Additional Information:||Mathematics Subject Classification 2000 : Primary : 90 C 32; Secondary : 26 B 25|
|Uncontrolled Keywords:||Generalized convexity, Fractional programming, Optimality conditions, Duality|
|Subjects:||Social sciences > Economics > Econometrics|
|Series Name:||Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)|
M.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.
|Deposited On:||03 Mar 2008|
|Last Modified:||15 Nov 2013 11:49|
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