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

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

In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (<i>G</i>-Mond&#8722;Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understan...

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Main Authors: Ramu Dubey, Lakshmi Narayan Mishra, Luis Manuel Sánchez Ruiz
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Symmetry
Subjects:
multiobjective
symmetric duality
second-order
nondifferentiable
fractional programming
support function
gf-bonvexity/gf-pseudobonvexity
Online Access:https://www.mdpi.com/2073-8994/11/11/1348
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spelling doaj-7f4d6e67fa484f4a9ceae98892e2fc782020-11-24T21:59:10ZengMDPI AGSymmetry2073-89942019-11-011111134810.3390/sym11111348sym11111348Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized AssumptionsRamu Dubey0Lakshmi Narayan Mishra1Luis Manuel Sánchez Ruiz2Department of Mathematics, J C Bose University of Science and Technology, YMCA, Faridabad 121 006, Haryana, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, IndiaETSID- Departamento de Matemática Aplicada &amp; CITG, Universitat Politecnica de Valencia, E-46022 Valencia, SpainIn this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (<i>G</i>-Mond&#8722;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.https://www.mdpi.com/2073-8994/11/11/1348multiobjectivesymmetric dualitysecond-ordernondifferentiablefractional programmingsupport functiongf-bonvexity/gf-pseudobonvexity
collection DOAJ
language English
format Article
sources DOAJ
author Ramu Dubey
Lakshmi Narayan Mishra
Luis Manuel Sánchez Ruiz
spellingShingle Ramu Dubey
Lakshmi Narayan Mishra
Luis Manuel Sánchez Ruiz
Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
Symmetry
multiobjective
symmetric duality
second-order
nondifferentiable
fractional programming
support function
gf-bonvexity/gf-pseudobonvexity
author_facet Ramu Dubey
Lakshmi Narayan Mishra
Luis Manuel Sánchez Ruiz
author_sort Ramu Dubey
title Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
title_short Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
title_full Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
title_fullStr Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
title_full_unstemmed Nondifferentiable <i>G</i>-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions
title_sort nondifferentiable <i>g</i>-mond–weir type multiobjective symmetric fractional problem and their duality theorems under generalized assumptions
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2019-11-01
description In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (<i>G</i>-Mond&#8722;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.
topic multiobjective
symmetric duality
second-order
nondifferentiable
fractional programming
support function
gf-bonvexity/gf-pseudobonvexity
url https://www.mdpi.com/2073-8994/11/11/1348
work_keys_str_mv AT ramudubey nondifferentiableigimondweirtypemultiobjectivesymmetricfractionalproblemandtheirdualitytheoremsundergeneralizedassumptions
AT lakshminarayanmishra nondifferentiableigimondweirtypemultiobjectivesymmetricfractionalproblemandtheirdualitytheoremsundergeneralizedassumptions
AT luismanuelsanchezruiz nondifferentiableigimondweirtypemultiobjectivesymmetricfractionalproblemandtheirdualitytheoremsundergeneralizedassumptions
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