A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method
In this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k-demimetric mappings, and common...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9551162 |
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| author | Bijan Orouji Ebrahim Soori Donal O’Regan Ravi P. Agarwal |
| author_facet | Bijan Orouji Ebrahim Soori Donal O’Regan Ravi P. Agarwal |
| author_sort | Bijan Orouji |
| collection | DOAJ |
| description | In this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k-demimetric mappings, and common zero points of a finite family of Bregman inverse strongly monotone mappings in a reflexive Banach space. To the best of our knowledge, such a theorem for Bregman k-demimetric mapping is the first of its kind in a Banach space. This manuscript is online on arXiv by the link http://arxiv.org/abs/2107.13254. |
| format | Article |
| id | doaj-art-63d7eba4787e4aa0b9aeeb6d5dcdfb72 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-63d7eba4787e4aa0b9aeeb6d5dcdfb722025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/95511629551162A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection MethodBijan Orouji0Ebrahim Soori1Donal O’Regan2Ravi P. Agarwal3Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, IranDepartment of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, IranSchool of Mathematics, Statistics, National University of Ireland, Galway, IrelandDepartment of Mathematics, Texas A&M University Kingsville, Kingsville, USAIn this paper, using a new shrinking projection method and new generalized k-demimetric mappings, we consider the strong convergence for finding a common point of the sets of zero points of maximal monotone mappings, common fixed points of a finite family of Bregman k-demimetric mappings, and common zero points of a finite family of Bregman inverse strongly monotone mappings in a reflexive Banach space. To the best of our knowledge, such a theorem for Bregman k-demimetric mapping is the first of its kind in a Banach space. This manuscript is online on arXiv by the link http://arxiv.org/abs/2107.13254.http://dx.doi.org/10.1155/2021/9551162 |
| spellingShingle | Bijan Orouji Ebrahim Soori Donal O’Regan Ravi P. Agarwal A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method Journal of Function Spaces |
| title | A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method |
| title_full | A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method |
| title_fullStr | A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method |
| title_full_unstemmed | A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method |
| title_short | A Strong Convergence Theorem for a Finite Family of Bregman Demimetric Mappings in a Banach Space under a New Shrinking Projection Method |
| title_sort | strong convergence theorem for a finite family of bregman demimetric mappings in a banach space under a new shrinking projection method |
| url | http://dx.doi.org/10.1155/2021/9551162 |
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