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Math."],"published-print":{"date-parts":[[2025,4]]},"abstract":"<jats:title>Abstract<\/jats:title>\n          <jats:p>This article delves into the analysis of semi-infinite multi-objective optimization problems characterized by constraints that gradually vanish. We establish sufficient efficiency criteria to determine whether a feasible solution attains a Pareto solution in the given multi-objective optimization problem considering the presence of vanishing constraints and suitable generalized convexity assumptions. We provide illustrative examples to confirm the validity of our findings. Additionally, we derive weak, converse, strong converse, and strong duality theorems for a dual model based on Mond\u2013Weir principles, relying on generalized convexity assumptions.<\/jats:p>","DOI":"10.1007\/s40314-025-03120-2","type":"journal-article","created":{"date-parts":[[2025,2,4]],"date-time":"2025-02-04T16:14:29Z","timestamp":1738685669000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Efficiency criteria and dual models for multi-objective semi-infinite constrained minimization problems with vanishing restrictions"],"prefix":"10.1007","volume":"44","author":[{"given":"Murari Kumar","family":"Roy","sequence":"first","affiliation":[]},{"given":"Bhuwan Chandra","family":"Joshi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8209-3869","authenticated-orcid":false,"given":"Savin","family":"Trean\u0163\u0103","sequence":"additional","affiliation":[]},{"given":"Cristina-Florentina","family":"Marghescu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,2,4]]},"reference":[{"issue":"3","key":"3120_CR1","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1007\/s10288-021-00482-1","volume":"20","author":"T Antczak","year":"2022","unstructured":"Antczak T (2022) Optimality conditions and Mond\u2013Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints. 4OR 20(3):417\u2013442","journal-title":"4OR"},{"issue":"2","key":"3120_CR2","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1287\/mnsc.9.2.209","volume":"9","author":"A Charnes","year":"1963","unstructured":"Charnes A, Cooper WW, Kortanek K (1963) Duality in semi-infinite programs and some works of Haar and Carath\u00e9odory. 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