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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 43, 1998 - Issue 1
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Original Articles

On symmetric duality in mathematical programming with F-convexity

S. Chandra Department of Mathematics, I.I.T.Delhi Hausz Khas, New Delhi, I0016, India
,
Abha. Goyal Department of Mathematics, I.I.T.Delhi Hausz Khas, New Delhi, I0016, India
&
I. Husain Department of Mathematics, Regional Engineering College, Srinugar, Kashmir, India
Pages 1-18 | Published online: 20 Mar 2007

Citations (18)

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Read on this site (3)

Shashi K. Mishra & Norma G. Rueda. (2008) On symmetric duality in mathematical programming with (b, F)- convexity. Journal of Information and Optimization Sciences 29:4, pages 679-691.
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I. M. Stancu-Minasian. (2006) A sixth bibliography of fractional programming. Optimization 55:4, pages 405-428.
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Elisa Caprari. (2003) ρ-Invex Functions and ( F , ρ)Convex Functions: Properties and Equivalences. Optimization 52:1, pages 65-74.
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Articles from other publishers (15)

Nisha Pokharna & Indira P. Tripathi. (2024) A sublinear functional based approximated equivalence to optimality and duality for multiobjective programming in complex spaces. Journal of Computational and Applied Mathematics 446, pages 115860.
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N. Kailey, Sonali Sethi & Vivek Dhingra. (2024) Correspondence between a new pair of nondifferentiable mixed dual vector programs and higher-order generalized convexity. OPSEARCH.
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Khushboo Verma, Jai Prakash Verma & Izhar Ahmad. (2020) A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity. Bulletin of the Malaysian Mathematical Sciences Society 44:1, pages 479-495.
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Izhar Ahmad, Khushboo Verma & Suliman Al-Homidan. (2020) Mixed Type Nondifferentiable Higher-Order Symmetric Duality over Cones. Symmetry 12:2, pages 274.
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Khushboo Verma, Pankaj Mathur & Tilak Raj Gulati. (2018) A New Approach on Mixed-Type Nondifferentiable Higher-Order Symmetric Duality. Journal of the Operations Research Society of China 7:2, pages 321-335.
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Xinmin YangXinmin Yang. 2018. Generalized Preinvexity and Second Order Duality in Multiobjective Programming. Generalized Preinvexity and Second Order Duality in Multiobjective Programming 109 120 .
Himani Saini & T.R. Gulati. (2011) Nondifferentiable multiobjective symmetric duality with -convexity over cones. Nonlinear Analysis: Theory, Methods & Applications 74:5, pages 1577-1584.
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Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta & N. Kailey. (2011) Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming. Abstract and Applied Analysis 2011, pages 1-14.
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I. Ahmad & Sarita Sharma. (2008) Symmetric duality for multiobjective fractional variational problems involving cones. European Journal of Operational Research 188:3, pages 695-704.
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X.M. Yang, X.Q. Yang, K.L. Teo & S.H. Hou. (2005) Second order symmetric duality in non-differentiable multiobjective programming with F-convexity. European Journal of Operational Research 164:2, pages 406-416.
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I. Ahmad & Z. Husain. (2005) Nondifferentiable second order symmetric duality in multiobjective programming. Applied Mathematics Letters 18:7, pages 721-728.
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I. Ahmad & Z. Husain. (2005) On symmetric duality in nondifferentiable mathematical programming with F-convexity. Journal of Applied Mathematics and Computing 19:1-2, pages 371-384.
Crossref
Riccardo Cambini, Laura Carosi & Siegfried Schaible. 2005. Generalized Convexity, Generalized Monotonicity and Applications. Generalized Convexity, Generalized Monotonicity and Applications 147 159 .
Shashi K. Mishra & Norma G. Rueda. (2003) Symmetric duality for mathematical programming in complex spaces with F-convexity. Journal of Mathematical Analysis and Applications 284:1, pages 250-265.
Crossref
S.K. Mishra. (2000) Second order symmetric duality in mathematical programming with F-convexity. European Journal of Operational Research 127:3, pages 507-518.
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