Next Article in Journal
Short vs. Standard Length Cone Morse Connection Implants: An In Vitro Pilot Study in Low Density Polyurethane Foam
Next Article in Special Issue
A Study on Hypergraph Representations of Complex Fuzzy Information
Previous Article in Journal
Angle Tracking Observer with Improved Accuracy for Resolver-to-Digital Conversion
Previous Article in Special Issue
Proposal for the Identification of Information Technology Services in Public Organizations
Open AccessArticle

Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

1
Department of Mathematics, J C Bose University of Science and Technology, YMCA, Faridabad 121 006, Haryana, India
2
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India
3
L. 1627 Awadh Puri Colony, Beniganj, Phase III, Opposite Industrial Training Institute (I.T.I.), Ayodhya main road, Faizabad 224 001, Uttar Pradesh, India
4
ETSID- Departamento de Matemática Aplicada & CITG, Universitat Politecnica de Valencia, E-46022 Valencia, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(11), 1348; https://doi.org/10.3390/sym11111348
Received: 29 September 2019 / Revised: 17 October 2019 / Accepted: 20 October 2019 / Published: 1 November 2019
(This article belongs to the Special Issue Symmetry and Complexity 2019)
In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond–Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions. View Full-Text
Keywords: multiobjective; symmetric duality; second-order; nondifferentiable; fractional programming; support function; Gf-bonvexity/Gf-pseudobonvexity multiobjective; symmetric duality; second-order; nondifferentiable; fractional programming; support function; Gf-bonvexity/Gf-pseudobonvexity
Show Figures

Figure 1

MDPI and ACS Style

Dubey, R.; Mishra, L.N.; Sánchez Ruiz, L.M. Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions. Symmetry 2019, 11, 1348. https://doi.org/10.3390/sym11111348

AMA Style

Dubey R, Mishra LN, Sánchez Ruiz LM. Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions. Symmetry. 2019; 11(11):1348. https://doi.org/10.3390/sym11111348

Chicago/Turabian Style

Dubey, Ramu; Mishra, Lakshmi N.; Sánchez Ruiz, Luis M. 2019. "Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions" Symmetry 11, no. 11: 1348. https://doi.org/10.3390/sym11111348

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop