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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.
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
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.

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