On Mixed Equilibrium Problems in Hadamard Spaces
<p>The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent an...
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| مؤلفون آخرون: | , , , |
| منشور في: |
2019
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| _version_ | 1864513563238858752 |
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| author | Chinedu Izuchukwu (14603284) |
| author2 | Kazeem Olalekan Aremu (14603285) Olawale Kazeem Oyewole (14603287) Oluwatosin Temitope Mewomo (14603289) Safeer Hussain Khan (14603290) |
| author2_role | author author author author |
| author_facet | Chinedu Izuchukwu (14603284) Kazeem Olalekan Aremu (14603285) Olawale Kazeem Oyewole (14603287) Oluwatosin Temitope Mewomo (14603289) Safeer Hussain Khan (14603290) |
| author_role | author |
| dc.creator.none.fl_str_mv | Chinedu Izuchukwu (14603284) Kazeem Olalekan Aremu (14603285) Olawale Kazeem Oyewole (14603287) Oluwatosin Temitope Mewomo (14603289) Safeer Hussain Khan (14603290) |
| dc.date.none.fl_str_mv | 2019-10-13T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1155/2019/3210649 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/On_Mixed_Equilibrium_Problems_in_Hadamard_Spaces/22082753 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Pure mathematics equilibrium problem resolvent operator convergence algorithm |
| dc.title.none.fl_str_mv | On Mixed Equilibrium Problems in Hadamard Spaces |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a Δ-convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halperntype PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature. </p> <h2>Other information</h2> <p>Published in: Journal of Mathematics<br> License: <a href="http://creativecommons.org/licenses/by/4.0" target="_blank">http://creativecommons.org/licenses/by/4.0</a><br> See article on publisher's website: <a href="http://dx.doi.org/10.1155/2019/3210649" target="_blank">http://dx.doi.org/10.1155/2019/3210649</a> </p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_350b9b27f331ad5b014680739dc2a925 |
| identifier_str_mv | 10.1155/2019/3210649 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/22082753 |
| publishDate | 2019 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | On Mixed Equilibrium Problems in Hadamard SpacesChinedu Izuchukwu (14603284)Kazeem Olalekan Aremu (14603285)Olawale Kazeem Oyewole (14603287)Oluwatosin Temitope Mewomo (14603289)Safeer Hussain Khan (14603290)Mathematical sciencesPure mathematicsequilibrium problemresolvent operatorconvergencealgorithm<p>The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a Δ-convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halperntype PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature. </p> <h2>Other information</h2> <p>Published in: Journal of Mathematics<br> License: <a href="http://creativecommons.org/licenses/by/4.0" target="_blank">http://creativecommons.org/licenses/by/4.0</a><br> See article on publisher's website: <a href="http://dx.doi.org/10.1155/2019/3210649" target="_blank">http://dx.doi.org/10.1155/2019/3210649</a> </p>2019-10-13T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1155/2019/3210649https://figshare.com/articles/journal_contribution/On_Mixed_Equilibrium_Problems_in_Hadamard_Spaces/22082753CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/220827532019-10-13T00:00:00Z |
| spellingShingle | On Mixed Equilibrium Problems in Hadamard Spaces Chinedu Izuchukwu (14603284) Mathematical sciences Pure mathematics equilibrium problem resolvent operator convergence algorithm |
| status_str | publishedVersion |
| title | On Mixed Equilibrium Problems in Hadamard Spaces |
| title_full | On Mixed Equilibrium Problems in Hadamard Spaces |
| title_fullStr | On Mixed Equilibrium Problems in Hadamard Spaces |
| title_full_unstemmed | On Mixed Equilibrium Problems in Hadamard Spaces |
| title_short | On Mixed Equilibrium Problems in Hadamard Spaces |
| title_sort | On Mixed Equilibrium Problems in Hadamard Spaces |
| topic | Mathematical sciences Pure mathematics equilibrium problem resolvent operator convergence algorithm |