Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions
In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the conside...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724000250 |
| _version_ | 1797259612629499904 |
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| author | Tareq Saeed Vinay Singh Savin Treanţă Solomon Lalmalsawma |
| author_facet | Tareq Saeed Vinay Singh Savin Treanţă Solomon Lalmalsawma |
| author_sort | Tareq Saeed |
| collection | DOAJ |
| description | In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP)h,φ. In addition, we investigate a dual problem of Mond–Weir type, called (GMWD)h,φ, and establish several duality results. |
| first_indexed | 2024-03-08T04:06:12Z |
| format | Article |
| id | doaj.art-00f383344297458b84bc79d58f4a31df |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-04-24T23:12:12Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-00f383344297458b84bc79d58f4a31df2024-03-17T07:59:03ZengElsevierResults in Control and Optimization2666-72072024-03-0114100395Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functionsTareq Saeed0Vinay Singh1Savin Treanţă2Solomon Lalmalsawma3Financial Mathematics and Actuarial Science (FMAS) - Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Corresponding author.Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl, 796012, Mizoram, IndiaDepartment of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 313 Splaiul Independentei, Bucharest, 060042, Romania; Fundamental Sciences Applied in Engineering - Research Center (SFAI), National University of Science and Technology Politehnica Bucharest, 313 Splaiul Independentei, Bucharest, 060042, Romania; Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest, 050094, RomaniaDepartment of Mathematics, National Institute of Technology, Chaltlang, Aizawl, 796012, Mizoram, IndiaIn this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP)h,φ. In addition, we investigate a dual problem of Mond–Weir type, called (GMWD)h,φ, and establish several duality results.http://www.sciencedirect.com/science/article/pii/S2666720724000250(h, φ)-convex functionSufficient KKT optimality conditions(h, φ)-G-type I functionsWeak Pareto solutionsDuality |
| spellingShingle | Tareq Saeed Vinay Singh Savin Treanţă Solomon Lalmalsawma Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions Results in Control and Optimization (h, φ)-convex function Sufficient KKT optimality conditions (h, φ)-G-type I functions Weak Pareto solutions Duality |
| title | Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions |
| title_full | Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions |
| title_fullStr | Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions |
| title_full_unstemmed | Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions |
| title_short | Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions |
| title_sort | optimality conditions in multiobjective programming models with semi infinite constraints using generalized h φ g type i functions |
| topic | (h, φ)-convex function Sufficient KKT optimality conditions (h, φ)-G-type I functions Weak Pareto solutions Duality |
| url | http://www.sciencedirect.com/science/article/pii/S2666720724000250 |
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