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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 29, 1994 - Issue 1
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Original Articles

Duality for multiobjective programming involving n-set functions

C.L. Jo Dept. of Applied Mathematics, National Fisheries University of Pusan, Pusan, 608-737, Republic of Korea
,
D.S. Kim Dept. of Applied Mathematics, National Fisheries University of Pusan, Pusan, 608-737, Republic of Korea
&
G.M. Lee Dept. of Natural Sciences, Pusan National University of Technology, Pusan, 608-739, Republic of Korea
Pages 45-54 | Published online: 20 Mar 2007

Citations (13)

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Read on this site (4)

G. J. Zalmai. (2003) Parametric sufficient efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized (F, ρ, θ) -convex functions. Journal of Statistics and Management Systems 6:2, pages 331-370.
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R. Pini & C. Singh. (1997) A survey of recent[1985-1995]advances in generalized convexity with applications to duality theory and optimality conditions. Optimization 39:4, pages 311-360.
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J.C. Liu. (1997) Optimality and duality for multiobjective programming involving subdifferentiable set functions. Optimization 39:3, pages 239-252.
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Cheong Lai Jo, Do Sang Kim & Gue Myung Lee. (1995) Optimality for nonlinear programs containing n-set functions. Journal of Information and Optimization Sciences 16:2, pages 243-253.
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Articles from other publishers (9)

Joydev Dasmahapatra & Saroj Kumar Padhan. (2017) Second order duality for mathematical programming involving n-set functions. Boletim da Sociedade Paranaense de Matemática 37:3, pages 37-54.
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Reiji Higashi, Toshio Uraoka, Taku Sakamoto, Takahisa Matsuda, Takahiro Fujii, Takahiro Horimatsu, Yutaka Saito, Takaya Aoki, Yoshiki Wada, Shinei Kudo, Wataru Sano, Masahito Kotaka, Mineo Iwatate, Atsushi Katagiri, Hiroaki Ikematsu, Yasuhiro Ono, Kenji Watanabe, Masakazu Nishishita, Hirokazu Yamagami, Santa Hattori, Takahiro Fujimori, Hirohisa Machida, Yoshinobu Yamamoto, Hogara Nishisaki & Yasushi Sano. 2015. Atlas of Endoscopy with Narrow Band Imaging. Atlas of Endoscopy with Narrow Band Imaging 293 340 .
S. K. Mishra, M. Jaiswal & Pankaj. (2012) Optimality conditions for multiple objective fractional subset programming with (ρ,σ,θ)-type-I and related non-convex functions. Calcolo 49:3, pages 177-192.
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James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithAlexander Engau. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
S.K. Mishra, S.Y. Wang & K.K. Lai. (2008) Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions. Mathematical and Computer Modelling 48:7-8, pages 1201-1212.
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Izhar Ahmad & Sarita Sharma. (2007) Sufficiency in multiobjective subset programming involving generalized type-I functions. Journal of Global Optimization 39:3, pages 473-481.
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S. K. Mishra. (2006) Duality for Multiple Objective Fractional Subset Programming with Generalized (, ρ, σ, θ)-V-Type-I Functions. Journal of Global Optimization 36:4, pages 499-516.
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G.J. Zalmai. (2002) Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized (ϝ, α, ϱ, θ)-V-convex functions. Computers & Mathematics with Applications 43:12, pages 1489-1520.
Crossref
H.C Lai & J.C Liu. (1997) Optimality Conditions for Multiobjective Programming with Generalized (I,ρ,θ)-Convex Set Functions. Journal of Mathematical Analysis and Applications 215:2, pages 443-460.
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