## Tbilisi Mathematical Journal

### Higher-order parameter-free sufficient optimality conditions in discrete minmax fractional programming

#### Abstract

The purpose of this paper is to establish a fairly large number of sets of second-order parameter-free sufficient optimality conditions for a discrete minmax fractional programming problem. Our effort to accomplish this goal is by utilizing various new classes of generalized second-order $(\phi,\eta,\rho,\theta,m)$-invex functions, which generalize most of the concepts available in the literature.

#### Article information

Source
Tbilisi Math. J., Volume 10, Issue 2 (2017), 211-233.

Dates
Received: 4 December 2016
Accepted: 2 May 2017
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300056

Digital Object Identifier
doi:10.1515/tmj-2017-0038

Mathematical Reviews number (MathSciNet)
MR3665635

Zentralblatt MATH identifier
1371.90113

#### Citation

Verma, Ram U.; Zalmai, G. J. Higher-order parameter-free sufficient optimality conditions in discrete minmax fractional programming. Tbilisi Math. J. 10 (2017), no. 2, 211--233. doi:10.1515/tmj-2017-0038. https://projecteuclid.org/euclid.tbilisi/1527300056

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