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Volumn 37, Issue 1, 1996, Pages 27-39

Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions

Author keywords

Duality; Multiobjective fractional programming; Nonsmooth pseudoinvexity

Indexed keywords


EID: 0030480158     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939608844194     Document Type: Article
Times cited : (29)

References (39)
  • 1
    • 0000920674 scopus 로고
    • Duality in nondifferentiable generalized fractional programminng
    • Bector, C. R. and Suneja, S. K. (1988) Duality in nondifferentiable generalized fractional programminng, Asia-Pacific J. Oper. Res., 5, 134-139
    • (1988) Asia-Pacific J. Oper. Res. , vol.5 , pp. 134-139
    • Bector, C.R.1    Suneja, S.K.2
  • 2
    • 0000756029 scopus 로고
    • Generalized fractional programming duality: A parametric approach
    • Bector, C. R. Chandra, S. and Bector, M. K. (1989) Generalized fractional programming duality: a parametric approach, J. Optim. Theory Appl., 60, 243-260
    • (1989) J. Optim. Theory Appl. , vol.60 , pp. 243-260
    • Bector, C.R.1    Chandra, S.2    Bector, M.K.3
  • 3
    • 0001886483 scopus 로고
    • Duality for minmax programming involving V-invex functions
    • Bector, C. R. Chandra, S. and Kumar, V. (1994) Duality for minmax programming involving V-invex functions, Optimization, 30, 93-103
    • (1994) Optimization , vol.30 , pp. 93-103
    • Bector, C.R.1    Chandra, S.2    Kumar, V.3
  • 4
    • 0027683985 scopus 로고
    • Optimality conditions and subdifferentiable multiobjective fractional programming
    • Bector, C. R. Chandra, S. and Husain, I. (1993) Optimality conditions and subdifferentiable multiobjective fractional programming, J. Optim. Theory Appl., 79, 105-125
    • (1993) J. Optim. Theory Appl. , vol.79 , pp. 105-125
    • Bector, C.R.1    Chandra, S.2    Husain, I.3
  • 6
    • 84948286672 scopus 로고
    • Generalized (F, ρ)-convexity and duality for nonsmooth multiobjective programs
    • Bhatia, D. and Jaia, P. (1994) Generalized (F, ρ)-convexity and duality for nonsmooth multiobjective programs, Optimization, 31, 153-164
    • (1994) Optimization , vol.31 , pp. 153-164
    • Bhatia, D.1    Jaia, P.2
  • 7
    • 0001842677 scopus 로고
    • On multi-objective fractional duality for Hanson-Mond classes of functions
    • Bhatia, D. and Jaia, P. (1993) On multi-objective fractional duality for Hanson-Mond classes of functions, J. Inf. Optim. Sci., 14, 1-9
    • (1993) J. Inf. Optim. Sci. , vol.14 , pp. 1-9
    • Bhatia, D.1    Jaia, P.2
  • 8
    • 0002746493 scopus 로고
    • Non-differentiable multiobjective fractional programming with Hanson-Mond classes of functions
    • Bhatia, D. and Jaia, P. (1991) Non-differentiable multiobjective fractional programming with Hanson-Mond classes of functions, J. Inf. Optim. Sci., 12, 35-47
    • (1991) J. Inf. Optim. Sci. , vol.12 , pp. 35-47
    • Bhatia, D.1    Jaia, P.2
  • 9
    • 0001385910 scopus 로고
    • Generalized fractional programming duality: A ratio game approach
    • Chandra, S. Craven, B. D. and Mond, B. (1986) Generalized fractional programming duality: a ratio game approach, J. Austral. Math. Soc. Ser., B 28, 170-180
    • (1986) J. Austral. Math. Soc. Ser., B , vol.28 , pp. 170-180
    • Chandra, S.1    Craven, B.D.2    Mond, B.3
  • 11
    • 0020946386 scopus 로고
    • Duality in generalized fractional programming
    • Crouzeix, J. P. Ferland, J. A. and Schaible, S. (1983) Duality in generalized fractional programming, Mathe. Prog., 27, 342-354
    • (1983) Mathe. Prog. , vol.27 , pp. 342-354
    • Crouzeix, J.P.1    Ferland, J.A.2    Schaible, S.3
  • 14
    • 0001295821 scopus 로고
    • Multiobjective duality with invexity
    • Egudo, R. R. and Hanson, M. A. (1987) Multiobjective duality with invexity, J. Math. Anal. Appl., 126, 469-477
    • (1987) J. Math. Anal. Appl. , vol.126 , pp. 469-477
    • Egudo, R.R.1    Hanson, M.A.2
  • 15
    • 84974081644 scopus 로고
    • Multiobjective fractional duality
    • Egudo, R. R. (1988) Multiobjective fractional duality, Bull. Austral. Math. Soc., 37, 367-378
    • (1988) Bull. Austral. Math. Soc. , vol.37 , pp. 367-378
    • Egudo, R.R.1
  • 16
    • 0000717795 scopus 로고
    • Sufficiency and duality in multiobjective programming involving generalized F-convex functions
    • Gulati, T. R. (1994) Sufficiency and duality in multiobjective programming involving generalized F-convex functions, J. Math. Anal. Appl., 183, 181-195
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 181-195
    • Gulati, T.R.1
  • 17
    • 49149139478 scopus 로고
    • On sufficiency of the Kuhn-Tucker conditions
    • Hanson, M. A. (1981) On Sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl., 80, 545-550
    • (1981) J. Math. Anal. Appl. , vol.80 , pp. 545-550
    • Hanson, M.A.1
  • 18
    • 0002171449 scopus 로고
    • On optimality conditions in nondifferentiable programming
    • Hiriart-Urruty, J. B. (1978) On optimality conditions in nondifferentiable programming, Math. Prog., 14, 73-86
    • (1978) Math. Prog. , vol.14 , pp. 73-86
    • Hiriart-Urruty, J.B.1
  • 19
    • 0020802854 scopus 로고
    • Parametric approach to fractional programms
    • Ibaraki, T. (1983) Parametric approach to fractional programms, Math. Prog., 26, 345-362
    • (1983) Math. Prog. , vol.26 , pp. 345-362
    • Ibaraki, T.1
  • 20
    • 0002818016 scopus 로고
    • On generalized convex mathematical programming
    • Jeyakumar, V. and Mond, B. (1992) On generalized convex mathematical programming, J. Austral. Math. Soc. Ser., B 34, 43-53
    • (1992) J. Austral. Math. Soc. Ser., B , vol.34 , pp. 43-53
    • Jeyakumar, V.1    Mond, B.2
  • 21
    • 0028393255 scopus 로고
    • Optimality criteria and duality in multipleobjective optimization involving generalized invexity
    • Kaul, R. N. Suneja, S. K. and Srivastava, M. K. (1994) Optimality criteria and duality in multipleobjective optimization involving generalized invexity, J. Optim. Theory Appl., 80, 465-482
    • (1994) J. Optim. Theory Appl. , vol.80 , pp. 465-482
    • Kaul, R.N.1    Suneja, S.K.2    Srivastava, M.K.3
  • 22
    • 0021886623 scopus 로고
    • Optimality criteria in nonlinear programming involving nonconvex functions
    • Kaul, R. N. (1985) Optimality criteria in nonlinear programming involving nonconvex functions, J. Math. Anal. Appl., 105, 104-112
    • (1985) J. Math. Anal. Appl. , vol.105 , pp. 104-112
    • Kaul, R.N.1
  • 23
    • 0000843404 scopus 로고
    • Nonsmooth invexity in multiobjective programming
    • Lee, G. M. (1994) Nonsmooth invexity In multiobjective programming, J. Inf. Optim. Sci., 15, 127-136
    • (1994) J. Inf. Optim. Sci. , vol.15 , pp. 127-136
    • Lee, G.M.1
  • 26
    • 0002967356 scopus 로고
    • Hanson's duality theorem in nonsmooth programming
    • Mititelu, S. (1994) Hanson's duality theorem in nonsmooth programming, Optimization, 28, 275-281
    • (1994) Optimization , vol.28 , pp. 275-281
    • Mititelu, S.1
  • 27
    • 0001065644 scopus 로고
    • Pseudo-invexity and symmetric duality in nonlinear programming
    • Nanda, S. and Das, L. N. (1994) Pseudo-invexity and symmetric duality in nonlinear programming, Optimization, 28, 267-273
    • (1994) Optimization , vol.28 , pp. 267-273
    • Nanda, S.1    Das, L.N.2
  • 28
    • 0001732684 scopus 로고
    • Invex generalizations of some duality results
    • Nanda, S. (1988) Invex generalizations of some duality results, Opsearch, 25, 105-111
    • (1988) Opsearch , vol.25 , pp. 105-111
    • Nanda, S.1
  • 30
    • 38249042799 scopus 로고
    • A class of multiple-criteria fractional programming problems
    • Singh, C. (1986) A class of multiple-criteria fractional programming problems, J. Math. Anal. Appl., 115, 202-213
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 202-213
    • Singh, C.1
  • 31
    • 0000997182 scopus 로고
    • Preinvexity in multiobjective fractional programming
    • Singh, C. Suneja, S. K. and Rueda, N. G. (1992) Preinvexity in multiobjective fractional programming, J. Infor. Optim. Sci., 13, 293-302
    • (1992) J. Infor. Optim. Sci. , vol.13 , pp. 293-302
    • Singh, C.1    Suneja, S.K.2    Rueda, N.G.3
  • 33
    • 0002550750 scopus 로고
    • A note on invex functions and duality in multiple objective optimization
    • Weir, T. (1988) A note on invex functions and duality in multiple objective optimization, Opsearch, 25, 98-104
    • (1988) Opsearch , vol.25 , pp. 98-104
    • Weir, T.1
  • 34
    • 0003138056 scopus 로고
    • Duality for nondifferentiable multiple objective fractional programming problems
    • Weir, T. (1989) Duality for nondifferentiable multiple objective fractional programming problems, Util. Math., 36, 53-64
    • (1989) Util. Math. , vol.36 , pp. 53-64
    • Weir, T.1
  • 35
    • 0000269898 scopus 로고
    • A dual for a multiobjective fractional programming problems
    • Weir, T. (1986) A dual for a multiobjective fractional programming problems, J. Infor. Optim. Sci., 7, 261-269
    • (1986) J. Infor. Optim. Sci. , vol.7 , pp. 261-269
    • Weir, T.1
  • 36
    • 84973963369 scopus 로고
    • A duality theorem for a multiobjective fractional optimization problem
    • Weir, T. (1986) A duality theorem for a multiobjective fractional optimization problem, Bull. Austral. Math. Soc., 34, 415-425
    • (1986) Bull. Austral. Math. Soc. , vol.34 , pp. 415-425
    • Weir, T.1
  • 37
    • 0000240391 scopus 로고
    • Duality for fractional programming without a constraint qualification
    • Weir, T. (1990) Duality for fractional programming without a constraint qualification, Util. Math., 38, 193-197
    • (1990) Util. Math. , vol.38 , pp. 193-197
    • Weir, T.1
  • 38
    • 0002052358 scopus 로고
    • Optimality criteria and duality for a class of minmax programming problems with generalized invexity conditions
    • Zalmai, G. J. (1987) Optimality criteria and duality for a class of minmax programming problems with generalized invexity conditions, Util. Math., 32, 35-57
    • (1987) Util. Math. , vol.32 , pp. 35-57
    • Zalmai, G.J.1
  • 39
    • 0002169412 scopus 로고
    • Optimality conditions and duality models for generalized fractional programming problems containing locally subdifferentiable and ρ-convex functions
    • Zalmai, G. J. (1995) Optimality conditions and duality models for generalized fractional programming problems containing locally subdifferentiable and ρ-convex functions, Optimization, 32, 95-124
    • (1995) Optimization , vol.32 , pp. 95-124
    • Zalmai, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.