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The (<jats:italic>C, \u03c1, \u03b8<\/jats:italic>)-convexity\/(<jats:italic>C, \u03c1, \u03b8<\/jats:italic>)-pseudo-convexity\/(<jats:italic>C, \u03c1, \u03b8<\/jats:italic>)-quasiconvexity functions are defined and also, constructed concrete numerical examples for existing such type of functions. The duality results are established by using these aforesaid assumptions.<\/jats:p>","DOI":"10.1051\/ro\/2024165","type":"journal-article","created":{"date-parts":[[2024,8,16]],"date-time":"2024-08-16T07:59:00Z","timestamp":1723795140000},"page":"4553-4574","source":"Crossref","is-referenced-by-count":1,"title":["Non-differentiable second-order symmetric multiobjective fractional variational programming with cones constraints"],"prefix":"10.1051","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-8532-1606","authenticated-orcid":false,"given":"Ramesh","family":"Kumar","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2159-7710","authenticated-orcid":false,"given":"Vishnu Narayan","family":"Mishra","sequence":"additional","affiliation":[]},{"given":"Ramu","family":"Dubey","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2024,10,21]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/opre.21.1.1","volume":"21","author":"Bazaraa","year":"1973","journal-title":"Oper. 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