Solving Yosida inclusion problem in Hadamard manifold
Abstract We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to pr...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Arabian Journal of Mathematics |
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| Online Access: | http://link.springer.com/article/10.1007/s40065-019-0261-9 |
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doaj-ed46c6e12c634e2fbf9272e0c8dd1e922020-11-25T03:12:40ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512019-07-019235736610.1007/s40065-019-0261-9Solving Yosida inclusion problem in Hadamard manifoldMohammad Dilshad0Faculty of Science, Department of Mathematics, University of TabukAbstract We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion problem. An application to our problem and algorithm is presented to solve variational inequalities in Hadamard manifolds.http://link.springer.com/article/10.1007/s40065-019-0261-949J5347J2048C06 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammad Dilshad |
| spellingShingle |
Mohammad Dilshad Solving Yosida inclusion problem in Hadamard manifold Arabian Journal of Mathematics 49J53 47J20 48C06 |
| author_facet |
Mohammad Dilshad |
| author_sort |
Mohammad Dilshad |
| title |
Solving Yosida inclusion problem in Hadamard manifold |
| title_short |
Solving Yosida inclusion problem in Hadamard manifold |
| title_full |
Solving Yosida inclusion problem in Hadamard manifold |
| title_fullStr |
Solving Yosida inclusion problem in Hadamard manifold |
| title_full_unstemmed |
Solving Yosida inclusion problem in Hadamard manifold |
| title_sort |
solving yosida inclusion problem in hadamard manifold |
| publisher |
SpringerOpen |
| series |
Arabian Journal of Mathematics |
| issn |
2193-5343 2193-5351 |
| publishDate |
2019-07-01 |
| description |
Abstract We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion problem. An application to our problem and algorithm is presented to solve variational inequalities in Hadamard manifolds. |
| topic |
49J53 47J20 48C06 |
| url |
http://link.springer.com/article/10.1007/s40065-019-0261-9 |
| work_keys_str_mv |
AT mohammaddilshad solvingyosidainclusionprobleminhadamardmanifold |
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1724649126709166080 |