{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T12:10:21Z","timestamp":1772367021799,"version":"3.50.1"},"reference-count":14,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond\u2013Weir 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.<\/jats:p>","DOI":"10.3390\/sym11111348","type":"journal-article","created":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T12:30:50Z","timestamp":1572611450000},"page":"1348","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Nondifferentiable G-Mond\u2013Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8434-0907","authenticated-orcid":false,"given":"Ramu","family":"Dubey","sequence":"first","affiliation":[{"name":"Department of Mathematics, J C Bose University of Science and Technology, YMCA, Faridabad 121 006, Haryana, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7774-7290","authenticated-orcid":false,"given":"Lakshmi Narayan","family":"Mishra","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India"},{"name":"L. 1627 Awadh Puri Colony, Beniganj, Phase III, Opposite Industrial Training Institute (I.T.I.), Ayodhya main road, Faizabad 224 001, Uttar Pradesh, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7559-6724","authenticated-orcid":false,"given":"Luis Manuel","family":"S\u00e1nchez Ruiz","sequence":"additional","affiliation":[{"name":"ETSID- Departamento de Matem\u00e1tica Aplicada &amp; CITG, Universitat Politecnica de Valencia, E-46022 Valencia, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1016\/S0377-2217(01)00258-2","article-title":"Multiobjective symmetric duality involving cones","volume":"141","author":"Suneja","year":"2002","journal-title":"Eur. 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Special class of second-order non-differentiable symmetric duality problems with (G,\u03b1f)-pseudobonvexity assumptions. Mathematics, 7.","DOI":"10.3390\/math7080763"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s10898-008-9299-5","article-title":"On G-invex multiobjective programming","volume":"43","author":"Antczak","year":"2009","journal-title":"Part I. Optim. J. Glob. Optim."},{"key":"ref_12","first-page":"275","article-title":"Optimality conditions of G-type in locally Lipchitz multiobjective programming","volume":"40","author":"Kang","year":"2014","journal-title":"Viet. J. Math."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1080\/09720502.2014.952524","article-title":"Sufficiency in multiobjective programming under second-order B\u2013(p,r)\u2013V-type Ifunctions","volume":"17","author":"Gao","year":"2014","journal-title":"J. Interdiscip. 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