On optimality and duality for nonsmooth multiobjective fractional optimization problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Kim, Gwi Soo ^a   Hee Kim, Moon ^a   Lee, Gue Myung ^a  

^a Pukyong National University   (South Korea)

Author keywords

Duality theorems; Multiobjective fractional optimization problem; Nearly invex function; Optimality condition; Weakly efficient solution

Indexed keywords

FUNCTIONS; OPTIMIZATION; THEOREM PROVING; VECTORS;

MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEM; NEARLY INVEX FUNCTION; OPTIMALITY CONDITION; WEAKLY EFFICIENT SOLUTION;

PROBLEM SOLVING;

EID: 28044466214     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.03.051     Document Type: Conference Paper

References (15)

1. C.R. Bector, S. Chandra, and I. Husain Optimality conditions and subdifferentiable multiobjective fractional programming J. Optim. Theory Appl. 79 1993 105 125
2. S. Chandra, B.D. Craven, and B. Mond Vector-valued Lagrangian and multiobjective fractional programming duality Numer. Funct. Anal. Optim. 11 1990 239 254
3. F.H. Clarke Optimization and Nonsmooth Analysis 1983 Wiley-Interscience New York
4. R.R. Egudo Multiobjective fractional duality Bull. Austral. Math. Soc. 37 1988 367 378
5. M.A. Hanson On sufficiency of the Kuhn-Tucker conditions J. Math. Anal. Appl. 80 1981 545 550
6. V. Jeyakumar, and B. Mond On generalized convex mathematical programming J. Austral. Math. Soc. Ser. B 34 1992 43 53
7. H. Kuk, G.M. Lee, and D.S. Kim Nonsmooth multiobjective programs with V-ρ-invexity Indian J. Pure Appl. Math. 29 1998 405 412
8. H. Kuk, G.M. Lee, and T. Tanino Optimality and duality for nonsmooth multiobjective fractional programming with generalized invexity J. Math. Anal. Appl. 262 2001 365 375
9. G.M. Lee, D.S. Kim, P.H. Sach, Characterizations of Hartley proper efficiency in nonconvex programs, J. Global Optim., to appear.
10. J.C. Liu Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions Optimization 37 1996 27 39
11. J.C. Liu Optimality and duality for multiobjective fractional programming involving nonsmooth (F, ρ )-convex functions Optimization 36 1996 333 346
12. S.K. Mishra, and R.N. Mukherjee On generalized convex multi-objective nonsmooth programming J. Austral. Math. Soc. Ser. B 38 1996 140 148
13. R.N. Mukherjee, and Ch.P. Rao Multiobjective fractional programming under generalized invexity Indian J. Pure Appl. Math. 27 1996 1175 1183
14. P.H. Sach, G.M. Lee, and D.S. Kim Infine functions, nonsmooth alternative theorems and vector optimization problems J. Global Optim. 27 2003 51 81
15. T. Weir A duality theorem for a multiobjective fractional optimization problem Bull. Austral. Math. Soc. 34 1986 415 425