Title: Semi-infinite minimax fractional programming under (Φ, ρ)-V-invexity and generalised (Φ, ρ)-V-invexity. Optimality

Authors: Tadeusz Antczak

Addresses: Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Abstract: Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric sufficient optimality conditions for a new class of non-convex differentiable semi-infinite minimax fractional programming problems are obtained under (generalised) (Φ, ρ)-V-invexity assumptions imposed on the objective and constraint functions. With the reference to the said functions, we extend some results of optimality for a larger class of non-convex semi-infinite minimax fractional programming problems in comparison to those ones, previously established in the literature under other generalised convex notions.

Keywords: semi-infinite minimax fractional programming; (Φ, ρ)-V-invex function; (Φ, ρ)-V-pseudo-invex function; (Φ, ρ)-V-quasi-invex function; optimality conditions.

DOI: 10.1504/IJOR.2018.089128

International Journal of Operational Research, 2018 Vol.31 No.2, pp.164 - 197

Received: 06 Nov 2014
Accepted: 02 Feb 2015
Published online: 08 Jan 2018 *

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