References


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.