{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:46Z","timestamp":1740134566929,"version":"3.37.3"},"reference-count":35,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Spain\u2019s Ministry of Science and Technology","award":["MTM2007-63432"],"award-info":[{"award-number":["MTM2007-63432"]}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["MTM2007-63432"],"award-info":[{"award-number":["MTM2007-63432"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["MTM2007-63432"],"award-info":[{"award-number":["MTM2007-63432"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>One of the most important optimality conditions to aid in solving a vector optimization problem is the first-order necessary optimality condition that generalizes the Karush-Kuhn-Tucker condition. However, to obtain the sufficient optimality conditions, it is necessary to impose additional assumptions on the objective functions and on the constraint set. The present work is concerned with the constrained vector quadratic fractional optimization problem. It shows that sufficient Pareto optimality conditions and the main duality theorems can be established without the assumption of generalized convexity in the objective functions, by considering some assumptions on a linear combination of Hessian matrices instead. The main aspect of this contribution is the development of Pareto optimality conditions based on a similar second-order sufficient condition for problems with convex constraints, without convexity assumptions on the objective functions. These conditions might be useful to determine termination criteria in the development of algorithms.<\/jats:p>","DOI":"10.1155\/2014\/983643","type":"journal-article","created":{"date-parts":[[2014,11,25]],"date-time":"2014-11-25T16:02:00Z","timestamp":1416931320000},"page":"1-13","source":"Crossref","is-referenced-by-count":1,"title":["Pareto Optimality Conditions and Duality for Vector Quadratic Fractional Optimization Problems"],"prefix":"10.1155","volume":"2014","author":[{"given":"W. A.","family":"Oliveira","sequence":"first","affiliation":[{"name":"School of Applied Sciences, State University of Campinas, 13484-350 Limeira, SP, Brazil"}]},{"given":"A.","family":"Beato-Moreno","sequence":"additional","affiliation":[{"name":"Department of Statistics and Operations Research, College of Mathematics, University of Sevilla, 41012 Sevilla, Spain"}]},{"given":"A. 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