Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions
In this article, we formulate the concept of generalize bonvexity/pseudobonvexity functions. We formulate duality results for second-order fractional symmetric dual programs of G-Wolfe-type model. In the next section, we explain the duality theorems under generalize bonvexity/pseudobonvexity assumpt...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2023-02-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/09-IJMEMS-22-0145-8-1-142-162-2023.pdf |
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| author | Arvind Kumar Rajnish Kumar Naresh Kumar Khursheed Alam Ramu Dubey |
| author_facet | Arvind Kumar Rajnish Kumar Naresh Kumar Khursheed Alam Ramu Dubey |
| author_sort | Arvind Kumar |
| collection | DOAJ |
| description | In this article, we formulate the concept of generalize bonvexity/pseudobonvexity functions. We formulate duality results for second-order fractional symmetric dual programs of G-Wolfe-type model. In the next section, we explain the duality theorems under generalize bonvexity/pseudobonvexity assumptions. We identify a function lying exclusively in the class of generalize pseudobonvex and not in class of generalize bonvex functions. Our results are more generalized several known results in the literature. |
| first_indexed | 2024-04-11T03:03:15Z |
| format | Article |
| id | doaj.art-cb481f8a6f444678af1d6e7dfa6befb8 |
| institution | Directory Open Access Journal |
| issn | 2455-7749 |
| language | English |
| last_indexed | 2024-04-11T03:03:15Z |
| publishDate | 2023-02-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-cb481f8a6f444678af1d6e7dfa6befb82023-01-02T13:43:42ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492023-02-0181142162https://doi.org/10.33889/IJMEMS.2023.8.1.009Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions Arvind Kumar0Rajnish Kumar1Naresh Kumar2Khursheed Alam3Ramu Dubey4Department of Mathematics, Dyal Singh College, University of Delhi, Lodhi Road, New Delhi-110003, India.Department of Mathematics, School of Basic Sciences & Research, Sharda University, Greater Noida-201306, Uttar Pradesh, India. Noida Institute of Engineering & Technology, Greater Noida, Uttar Pradesh, India.Department of Mathematical and Physical Science, School of Computer Science, University of Nizwa, Sultanate of Oman.Department of Mathematics, School of Basic Sciences & Research, Sharda University, Greater Noida-201306, Uttar Pradesh, India.Department of Mathematics, J. C. Bose, University of Science and Technology, YMCA Faridabad-121006, Haryana, India.In this article, we formulate the concept of generalize bonvexity/pseudobonvexity functions. We formulate duality results for second-order fractional symmetric dual programs of G-Wolfe-type model. In the next section, we explain the duality theorems under generalize bonvexity/pseudobonvexity assumptions. We identify a function lying exclusively in the class of generalize pseudobonvex and not in class of generalize bonvex functions. Our results are more generalized several known results in the literature. https://www.ijmems.in/cms/storage/app/public/uploads/volumes/09-IJMEMS-22-0145-8-1-142-162-2023.pdfsecond-ordersymmetric dualityfractional programming problemgeneralize bonvexity |
| spellingShingle | Arvind Kumar Rajnish Kumar Naresh Kumar Khursheed Alam Ramu Dubey Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions International Journal of Mathematical, Engineering and Management Sciences second-order symmetric duality fractional programming problem generalize bonvexity |
| title | Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions |
| title_full | Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions |
| title_fullStr | Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions |
| title_full_unstemmed | Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions |
| title_short | Generalized Second-Order G-Wolfe Type Fractional Symmetric Program and their Duality Relations under Generalized Assumptions |
| title_sort | generalized second order g wolfe type fractional symmetric program and their duality relations under generalized assumptions |
| topic | second-order symmetric duality fractional programming problem generalize bonvexity |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/09-IJMEMS-22-0145-8-1-142-162-2023.pdf |
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