A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations
This paper proposes a modified scaled spectral-conjugate-based algorithm for finding solutions to monotone operator equations. The algorithm is a modification of the work of Li and Zheng in the sense that the uniformly monotone assumption on the operator is relaxed to just monotone. Furthermore, unl...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5549878 |
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| _version_ | 1832560145404526592 |
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| author | Auwal Bala Abubakar Kanikar Muangchoo Abdulkarim Hassan Ibrahim Sunday Emmanuel Fadugba Kazeem Olalekan Aremu Lateef Olakunle Jolaoso |
| author_facet | Auwal Bala Abubakar Kanikar Muangchoo Abdulkarim Hassan Ibrahim Sunday Emmanuel Fadugba Kazeem Olalekan Aremu Lateef Olakunle Jolaoso |
| author_sort | Auwal Bala Abubakar |
| collection | DOAJ |
| description | This paper proposes a modified scaled spectral-conjugate-based algorithm for finding solutions to monotone operator equations. The algorithm is a modification of the work of Li and Zheng in the sense that the uniformly monotone assumption on the operator is relaxed to just monotone. Furthermore, unlike the work of Li and Zheng, the search directions of the proposed algorithm are shown to be descent and bounded independent of the monotonicity assumption. Moreover, the global convergence is established under some appropriate assumptions. Finally, numerical examples on some test problems are provided to show the efficiency of the proposed algorithm compared to that of Li and Zheng. |
| format | Article |
| id | doaj-art-dd4680d357d340a1adc578c2d59b8e6b |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-dd4680d357d340a1adc578c2d59b8e6b2025-02-03T01:28:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55498785549878A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator EquationsAuwal Bala Abubakar0Kanikar Muangchoo1Abdulkarim Hassan Ibrahim2Sunday Emmanuel Fadugba3Kazeem Olalekan Aremu4Lateef Olakunle Jolaoso5Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano, Kano, NigeriaFaculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), 1381, Pracharat 1 Road, Wongsawang, Bang Sue, Bangkok 10800, ThailandKMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Ekiti State University, Ado Ekiti 360001, NigeriaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South AfricaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South AfricaThis paper proposes a modified scaled spectral-conjugate-based algorithm for finding solutions to monotone operator equations. The algorithm is a modification of the work of Li and Zheng in the sense that the uniformly monotone assumption on the operator is relaxed to just monotone. Furthermore, unlike the work of Li and Zheng, the search directions of the proposed algorithm are shown to be descent and bounded independent of the monotonicity assumption. Moreover, the global convergence is established under some appropriate assumptions. Finally, numerical examples on some test problems are provided to show the efficiency of the proposed algorithm compared to that of Li and Zheng.http://dx.doi.org/10.1155/2021/5549878 |
| spellingShingle | Auwal Bala Abubakar Kanikar Muangchoo Abdulkarim Hassan Ibrahim Sunday Emmanuel Fadugba Kazeem Olalekan Aremu Lateef Olakunle Jolaoso A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations Journal of Mathematics |
| title | A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations |
| title_full | A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations |
| title_fullStr | A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations |
| title_full_unstemmed | A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations |
| title_short | A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations |
| title_sort | modified scaled spectral conjugate gradient based algorithm for solving monotone operator equations |
| url | http://dx.doi.org/10.1155/2021/5549878 |
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