The ϵ−Optimality conditions for multiple objective fractional programming problems for generalized (ρ, η)−invexity of higher order

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DOI:

https://doi.org/10.4067/S0719-06462012000200001

Abstract

Motivated by the recent investigations in literature, a general framework for a class of (Ï, η)−invex n-set functions of higher order is introduced, and then some results on the ϵ−optimality conditions for multiple objective fractional subset programming are explored. The obtained results are general in nature, while generalize and unify results on generalized invexity as well as on generalized invexity of higher order to the context of multiple fractional programming.

Keywords

Generalized invexity of higher order , multiple objective fractional subset programming , ϵ−efficient solution , semi-parametric sufficient ϵ−optimality conditions
  • Ram U. Verma International Publications, 3400 S Brahma Blvd, Suite 31B, Kingsville, Texas 78363, USA.
  • Pages: 01–13
  • Date Published: 2012-06-01
  • Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

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Published

2012-06-01

How to Cite

[1]
R. U. Verma, “The ϵ−Optimality conditions for multiple objective fractional programming problems for generalized (ρ, η)−invexity of higher order”, CUBO, vol. 14, no. 2, pp. 01–13, Jun. 2012.

Issue

Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

Section

Articles