Some New Results on a Three-Step Iteration Process
The purpose of this research work is to prove some weak and strong convergence results for maps satisfying (<i>E</i>)-condition through three-step Thakur (<i>J. Inequal. Appl.</i><b>2014</b>, 2014:328.) iterative process in Banach spaces. We also present a new exa...
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MDPI AG
2020-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/3/110 |
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doaj-efa86974802e4aeb9dc61a5a643c5ac02020-11-25T02:31:23ZengMDPI AGAxioms2075-16802020-09-01911011010.3390/axioms9030110Some New Results on a Three-Step Iteration ProcessKifayat Ullah0Junaid Ahmad1Manuel de la Sen2Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644-Bilbao, Barrio Sarriena, 48940 Leioa, SpainThe purpose of this research work is to prove some weak and strong convergence results for maps satisfying (<i>E</i>)-condition through three-step Thakur (<i>J. Inequal. Appl.</i><b>2014</b>, 2014:328.) iterative process in Banach spaces. We also present a new example of maps satisfying (<i>E</i>)-condition, and prove that its three-step Thakur iterative process is more efficient than the other well-known three-step iterative processes. At the end of the paper, we apply our results for finding solutions of split feasibility problems. The presented research work updates some of the results of the current literature.https://www.mdpi.com/2075-1680/9/3/110split feasibility problemthree-step iterative process(E)-conditionconvergence resultrate of convergenceBanach space |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kifayat Ullah Junaid Ahmad Manuel de la Sen |
| spellingShingle |
Kifayat Ullah Junaid Ahmad Manuel de la Sen Some New Results on a Three-Step Iteration Process Axioms split feasibility problem three-step iterative process (E)-condition convergence result rate of convergence Banach space |
| author_facet |
Kifayat Ullah Junaid Ahmad Manuel de la Sen |
| author_sort |
Kifayat Ullah |
| title |
Some New Results on a Three-Step Iteration Process |
| title_short |
Some New Results on a Three-Step Iteration Process |
| title_full |
Some New Results on a Three-Step Iteration Process |
| title_fullStr |
Some New Results on a Three-Step Iteration Process |
| title_full_unstemmed |
Some New Results on a Three-Step Iteration Process |
| title_sort |
some new results on a three-step iteration process |
| publisher |
MDPI AG |
| series |
Axioms |
| issn |
2075-1680 |
| publishDate |
2020-09-01 |
| description |
The purpose of this research work is to prove some weak and strong convergence results for maps satisfying (<i>E</i>)-condition through three-step Thakur (<i>J. Inequal. Appl.</i><b>2014</b>, 2014:328.) iterative process in Banach spaces. We also present a new example of maps satisfying (<i>E</i>)-condition, and prove that its three-step Thakur iterative process is more efficient than the other well-known three-step iterative processes. At the end of the paper, we apply our results for finding solutions of split feasibility problems. The presented research work updates some of the results of the current literature. |
| topic |
split feasibility problem three-step iterative process (E)-condition convergence result rate of convergence Banach space |
| url |
https://www.mdpi.com/2075-1680/9/3/110 |
| work_keys_str_mv |
AT kifayatullah somenewresultsonathreestepiterationprocess AT junaidahmad somenewresultsonathreestepiterationprocess AT manueldelasen somenewresultsonathreestepiterationprocess |
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