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

Socpus ID

85030854314 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85030854314

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