Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions
We study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorith...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/3435078 |
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| _version_ | 1832549790619009024 |
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| author | E. E. Chima M. O. Osilike |
| author_facet | E. E. Chima M. O. Osilike |
| author_sort | E. E. Chima |
| collection | DOAJ |
| description | We study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings. |
| format | Article |
| id | doaj-art-4ba29ed6379f49d9acc38a9f2865becd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4ba29ed6379f49d9acc38a9f2865becd2025-02-03T06:08:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/34350783435078Split Common Fixed Point Problem for a Class of Total Asymptotic PseudocontractionsE. E. Chima0M. O. Osilike1Department of Mathematics, University of Nigeria, Nsukka, Enugu State 410001, NigeriaDepartment of Mathematics, University of Nigeria, Nsukka, Enugu State 410001, NigeriaWe study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings.http://dx.doi.org/10.1155/2016/3435078 |
| spellingShingle | E. E. Chima M. O. Osilike Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions Journal of Applied Mathematics |
| title | Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions |
| title_full | Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions |
| title_fullStr | Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions |
| title_full_unstemmed | Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions |
| title_short | Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions |
| title_sort | split common fixed point problem for a class of total asymptotic pseudocontractions |
| url | http://dx.doi.org/10.1155/2016/3435078 |
| work_keys_str_mv | AT eechima splitcommonfixedpointproblemforaclassoftotalasymptoticpseudocontractions AT moosilike splitcommonfixedpointproblemforaclassoftotalasymptoticpseudocontractions |