{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:15:09Z","timestamp":1760148909383,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,6,8]],"date-time":"2023-06-08T00:00:00Z","timestamp":1686182400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we present meanings of K-Gf-bonvexity\/K-Gf-pseudobonvexity and their generalization between the above-notice functions. We also construct various concrete non-trivial examples for existing these types of functions. We formulate K-Gf-Wolfe type multiobjective second-order symmetric duality model with cone objective as well as cone constraints and duality theorems have been established under these aforesaid conditions. Further, we have validates the weak duality theorem under those assumptions. Our results are more generalized than previous known results in the literature.<\/jats:p>","DOI":"10.3390\/axioms12060571","type":"journal-article","created":{"date-parts":[[2023,6,9]],"date-time":"2023-06-09T02:03:18Z","timestamp":1686276198000},"page":"571","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["New Class of K-G-Type Symmetric Second Order Vector Optimization Problem"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8637-3945","authenticated-orcid":false,"given":"Chetan","family":"Swarup","sequence":"first","affiliation":[{"name":"Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh-Male Campus, Riyadh 13316, Saudi Arabia"}]},{"given":"Ramesh","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121 006, India"}]},{"given":"Ramu","family":"Dubey","sequence":"additional","affiliation":[{"name":"Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121 006, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9516-1485","authenticated-orcid":false,"given":"Dowlath","family":"Fathima","sequence":"additional","affiliation":[{"name":"Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah 23442, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,8]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/s10479-007-0186-0","article-title":"A survey of recent developments in multiobjective optimization","volume":"154","author":"Chinchuluun","year":"2007","journal-title":"Ann. Oper. 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