Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation
We construct an implicit sequence suitable for the approximation of solutions of K-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by Osilike a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/683295 |
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| _version_ | 1832547543277371392 |
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| author | Naseer Shahzad Arif Rafiq Habtu Zegeye |
| author_facet | Naseer Shahzad Arif Rafiq Habtu Zegeye |
| author_sort | Naseer Shahzad |
| collection | DOAJ |
| description | We construct an implicit sequence suitable for the approximation of solutions of K-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by Osilike and Udomene (2001). |
| format | Article |
| id | doaj-art-ff54b13353444a489510b597c16755ed |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ff54b13353444a489510b597c16755ed2025-02-03T06:44:29ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/683295683295Implicit Approximation Scheme for the Solution of K-Positive Definite Operator EquationNaseer Shahzad0Arif Rafiq1Habtu Zegeye2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaDepartment of Mathematics, Lahore Leads University, Lahore 54810, PakistanDepartement of Mathematics, University of Botswana, Private Bag Box 00704, Gaborone, BotswanaWe construct an implicit sequence suitable for the approximation of solutions of K-positive definite operator equations in real Banach spaces. Furthermore, implicit error estimate is obtained and the convergence is shown to be faster in comparsion to the explicit error estimate obtained by Osilike and Udomene (2001).http://dx.doi.org/10.1155/2014/683295 |
| spellingShingle | Naseer Shahzad Arif Rafiq Habtu Zegeye Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation Abstract and Applied Analysis |
| title | Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation |
| title_full | Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation |
| title_fullStr | Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation |
| title_full_unstemmed | Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation |
| title_short | Implicit Approximation Scheme for the Solution of K-Positive Definite Operator Equation |
| title_sort | implicit approximation scheme for the solution of k positive definite operator equation |
| url | http://dx.doi.org/10.1155/2014/683295 |
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