Abstract
A set of generalized second-order parametric necessary optimality conditions and several sets of second-order sufficient optimality conditions for a semi-infinite discrete minmax fractional programming problem applying various generalized second-order \((\phi ,\eta ,\rho ,\theta ,\tilde{m})\)-invexity assumptions are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Verma, R.U., Zalmai, G.J.: Generalized parametric duality models in discrete minmax fractional programming based on second-order optimality conditions. Commun. Appl. Nonlinear Anal. 22(2), 17–36 (2015)
Verma, R.U., Zalmai, G.J.: Generalized second-order parameter-free optimality conditions in discrete minmax fractional programming. Commun. Appl. Nonlinear Anal. 22(2), 57–78 (2015)
Verma, R.U., Zalmai, G.J.: Parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions. Trans. Math Program.Appl. 2(11), 1–37 (2014)
Zalmai, G.J.: Generalized second-order \((\cal{F},\beta,\phi,\rho,\theta )\)-univex functions and parametric duality models in semiinfinite discrete minmax fractional programming. Adv. Nonlinear Var. Inequal. 15(2), 63–91 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Verma, R. (2017). Semi-infinite Discrete Minmax Fractional Programs. In: Semi-Infinite Fractional Programming. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-6256-8_9
Download citation
DOI: https://doi.org/10.1007/978-981-10-6256-8_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6255-1
Online ISBN: 978-981-10-6256-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)