Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces
In this paper, a new iterative scheme is introduced and also strong convergence theorems for solving split common fixed point problem for uniformly continuous Bregman generalized asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces are presented. The results ar...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nigerian Society of Physical Sciences
2019-10-01
|
| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/9 |
| _version_ | 1828410417725046784 |
|---|---|
| author | Yusuf Ibrahim |
| author_facet | Yusuf Ibrahim |
| author_sort | Yusuf Ibrahim |
| collection | DOAJ |
| description | In this paper, a new iterative scheme is introduced and also strong convergence theorems for solving split common fixed point problem for uniformly continuous Bregman generalized asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces are presented. The results are proved without the assumption of semicompactness property and or Opial condition |
| first_indexed | 2024-12-10T12:11:58Z |
| format | Article |
| id | doaj.art-888de3e6e5fd40ea964660548a8b7c25 |
| institution | Directory Open Access Journal |
| issn | 2714-2817 2714-4704 |
| language | English |
| last_indexed | 2024-12-10T12:11:58Z |
| publishDate | 2019-10-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj.art-888de3e6e5fd40ea964660548a8b7c252022-12-22T01:49:21ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042019-10-011210.46481/jnsps.2019.9Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach SpacesYusuf Ibrahim0Department of Mathematics, Sa'adatu Rimi College of Education, Kumbotso Kano, NigeriaIn this paper, a new iterative scheme is introduced and also strong convergence theorems for solving split common fixed point problem for uniformly continuous Bregman generalized asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces are presented. The results are proved without the assumption of semicompactness property and or Opial conditionhttps://journal.nsps.org.ng/index.php/jnsps/article/view/9Split common fixed point problemBregman distanceGeneralized asymptotically nonexpansive mappingStrong convergence |
| spellingShingle | Yusuf Ibrahim Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces Journal of Nigerian Society of Physical Sciences Split common fixed point problem Bregman distance Generalized asymptotically nonexpansive mapping Strong convergence |
| title | Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces |
| title_full | Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces |
| title_fullStr | Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces |
| title_short | Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces |
| title_sort | strong convergence theorems for split common fixed point problem of bregman generalized asymptotically nonexpansive mappings in banach spaces |
| topic | Split common fixed point problem Bregman distance Generalized asymptotically nonexpansive mapping Strong convergence |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/9 |
| work_keys_str_mv | AT yusufibrahim strongconvergencetheoremsforsplitcommonfixedpointproblemofbregmangeneralizedasymptoticallynonexpansivemappingsinbanachspaces |