Generalized Higher Order Hybrid Invexities With Second-Order Parametric Optimality Criteria For Discrete Minmax Fractional Programming
Keywords
Discrete minimax fractional programming; M)-invex functions; Necessary optimality conditions; Second-order hybrid (Pdbl; Sufficient optimality conditions; ζ; θ; ρ
Abstract
First, a class of second order hybrid (Pdbl, ζ, ρ, θ, m)-invexities is introduced, and then a set of second-order parametric necessary optimality conditions and numerous sets of second-order sufficient optimality conditions for a discrete minmax fractional programming problem using various second-order hybrid (Pdbl, ζ, ρ, θ, m)-invexity assumptions are established. The class of hybrid invexities not only generalizes all the concepts for generalized invexities in the literature, but also is significantly oriented toward applications.
Publication Date
10-1-2015
Publication Title
Communications on Applied Nonlinear Analysis
Volume
22
Issue
4
Number of Pages
79-94
Document Type
Article
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
85030854314 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85030854314
STARS Citation
Mohapatra, R. N. and Verma, R. U., "Generalized Higher Order Hybrid Invexities With Second-Order Parametric Optimality Criteria For Discrete Minmax Fractional Programming" (2015). Scopus Export 2015-2019. 1168.
https://stars.library.ucf.edu/scopus2015/1168