HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS

Tadeusz Antczak; Kalpana Shukla

doi:10.11948/20180261

2020 Volume 10 Issue 6

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Tadeusz Antczak, Kalpana Shukla. HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2806-2825. doi: 10.11948/20180261

Citation:

Tadeusz Antczak, Kalpana Shukla. HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2806-2825. doi: 10.11948/20180261

HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SUPPORT FUNCTIONS

Tadeusz Antczak¹,
Kalpana Shukla^2, ,

1.
Faculty of Mathematics and Computer Science, University of d, Banacha 22, 90-238, Poland
2.
Department of Mathematics, Manav Rachna University, Faridabad, India

Corresponding author: Email:bhukalpanabhu@gmail.com(K. Shukla)

Abstract

Abstract

In the paper, a new class of semi-infinite multiobjective fractional programming problems with support functions in the objective and constraint functions is considered. For such vector optimization problems, higher order dual problems in the sense of Mond-Weir and Schaible are defined. Then, various duality results between the considered multiobjective fractional semi-infinite programming problem and its higher order dual problems mentioned above are established under assumptions that the involved functions are higher order $\left(\Phi, \rho, \sigma^{\alpha}\right)$-type Ⅰ functions. The results established in the paper generalize several similar results previously established in the literature.
- Semi-infinite multiobjective fractional programming /
- support function /
- Mond Weir dual /
- Schaible type dual /
- higher order ψ-type Ⅰ functions
MSC: 90C46, 90C20, 90C26

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References

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