Efficiency and duality of multiobjective fractional control problems under (F, ρ)-convexity

被引：0

作者：

Reddy, LV ^{[1
]}

Mukherjee, RN ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1999年 / 30卷 / 01期

关键词：

efficiency; duality; multiobjective fractional variational control problems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Multiobjective fractional variational control problems had been introduced in the present paper. Further, Wolfe and Mond-Weir type of duals are formulated for such control problems under generalized (F, rho)-convexity on the functions involved. Weak and strong duality theorems are derived.

引用

页码：51 / 69

页数：19

共 50 条

[1] Duality for multiobjective fractional generalized control problems with (F, ρ)-convexity
Park, JY
Jeong, JU
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (08) : 1311 - 1332
[2] On efficiency and duality for multiobjective variational control problems with (F-rho)-convexity
Nahak, C
Nanda, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (02) : 415 - 434
[3] Duality For Nonsmooth Multiobjective Fractional Programs Under Generalized (F, ρ)-Convexity
Davinder Bhatia
R. K. Budhraja
Narender Kumar
[J]. OPSEARCH, 1998, 35 (2) : 115 - 126
[4] Duality for a class of symmetric nondifferentiable multiobjective fractional variational problems with generalized (F, α, ρ, d)-convexity
Kailey, N.
Gupta, S. K.
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) : 1453 - 1465
[5] Parametric approach to multitime multiobjective fractional variational problems under (F,ρ)-convexity
Antczak, Tadeusz
Pitea, Ariana
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (05): : 831 - 847
[6] Generalized (F,ρ)-Convexity and Duality in Nonsmooth Problems of Multiobjective Optimization
S. Nobakhtian
[J]. Journal of Optimization Theory and Applications, 2008, 136 : 61 - 68
[7] Generalized (F,ρ)-convexity and duality in nonsmooth problems of multiobjective optimization
Nobakhtian, S.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 136 (01) : 61 - 68
[8] Sufficiency and duality for multiobjective variational control problems with generalized (F, α, ρ, θ)-V-convexity
Ahmad, I.
Sharma, Sarita
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2564 - 2579
[9] Optimality and duality for the multiobjective fractional programming with the generalized (F, p) convexity
Chen, XH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) : 190 - 205
[10] ON EFFICIENCY AND DUALITY FOR A CLASS OF NONCONVEX NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL VARIATIONAL CONTROL PROBLEMS
Antczak, Tadeusz
Arana-Jimenez, Manuel
Treanta, Savin
[J]. OPUSCULA MATHEMATICA, 2023, 43 (03) : 335 - 391

← 1 2 3 4 5 →