Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions
Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 3
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In this paper, we shall establish necessary and sufficient conditions for a
feasible solution to be efficient for a nonsmooth multiobjective fractional programming
problem involving η − pseudolinear functions. Furthermore, we shall show equivalence
between efficiency and proper efficiency under certain boundedness condition. We have
also obtained weak and strong duality results for corresponding Mond-Weir subgradient
type dual problem. These results extend some earlier results on efficiency and duality to
multiobjective fractional programming problems involving pseudolinear and
η − pseudolinear functions.
Classification :
90C32, 49J52, 52A01
Keywords: Multiobjective fractional programming, nonsmooth programming, pseudolinearity, η−pseudolinearity, duality.
Keywords: Multiobjective fractional programming, nonsmooth programming, pseudolinearity, η−pseudolinearity, duality.
S.K. Mishra; B.B. Upadhyay. Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions. Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 3 . http://geodesic.mathdoc.fr/item/YJOR_2012_22_1_a0/
@article{YJOR_2012_22_1_a0,
author = {S.K. Mishra and B.B. Upadhyay},
title = {Efficiency and {Duality} in {Nonsmooth} {Multiobjective} {Fractional} {Programming} {Involving} \ensuremath{\eta}-pseudolinear {Functions}},
journal = {Yugoslav journal of operations research},
pages = {3 },
year = {2012},
volume = {22},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2012_22_1_a0/}
}
TY - JOUR AU - S.K. Mishra AU - B.B. Upadhyay TI - Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions JO - Yugoslav journal of operations research PY - 2012 SP - 3 VL - 22 IS - 1 UR - http://geodesic.mathdoc.fr/item/YJOR_2012_22_1_a0/ LA - en ID - YJOR_2012_22_1_a0 ER -
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