HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS

doi:10.1007/s10473-020-0109-9

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (1): 127-140.doi: 10.1007/s10473-020-0109-9

HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS

SONALI, Vikas SHARMA, Navdeep KAILEY

School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India

收稿日期:2018-12-10 修回日期:2019-05-11 出版日期:2020-02-25 发布日期:2020-04-14
通讯作者: Navdeep KAILEY E-mail:nkailey@thapar.edu

HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS

SONALI, Vikas SHARMA, Navdeep KAILEY

School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India

Received:2018-12-10 Revised:2019-05-11 Online:2020-02-25 Published:2020-04-14
Contact: Navdeep KAILEY E-mail:nkailey@thapar.edu

摘要/Abstract

摘要： In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions. We provide a nontrivial illustration of a function which belongs to the class of higher-order B-(p,r)-invex but not in the class of second-order B-(p,r)-invex functions already existing in literature. An example of finding a minimax solution of NMFP problem by using higher-order B-(p,r)-invex functions has also been given. Various known results are discussed as particular cases.

关键词: nonlinear programming, higher-order duality, fractional programming, minimax programming, B-(p,r)-invexity

Abstract: In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for higher-order dual model under higher-order B-(p,r)-invex functions. We provide a nontrivial illustration of a function which belongs to the class of higher-order B-(p,r)-invex but not in the class of second-order B-(p,r)-invex functions already existing in literature. An example of finding a minimax solution of NMFP problem by using higher-order B-(p,r)-invex functions has also been given. Various known results are discussed as particular cases.

Key words: nonlinear programming, higher-order duality, fractional programming, minimax programming, B-(p,r)-invexity

中图分类号:

90C32

SONALI, Vikas SHARMA, Navdeep KAILEY. HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS[J]. 数学物理学报(英文版), 2020, 40(1): 127-140.

SONALI, Vikas SHARMA, Navdeep KAILEY. HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS[J]. Acta mathematica scientia,Series B, 2020, 40(1): 127-140.

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HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS

HIGHER-ORDER NON-SYMMETRIC DUALITY FOR NONDIFFERENTIABLE MINIMAX FRACTIONAL PROGRAMS WITH SQUARE ROOT TERMS

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