Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces
We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorem...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/910487 |
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| _version_ | 1832556524060278784 |
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| author | E. U. Ofoedu Y. Shehu |
| author_facet | E. U. Ofoedu Y. Shehu |
| author_sort | E. U. Ofoedu |
| collection | DOAJ |
| description | We prove path convergence theorems and introduce
a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings. Our theorems extend and improve some important results which are announced recently by various authors. |
| format | Article |
| id | doaj-art-bfe96a2e6499404c825fc33bfe4bd5de |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bfe96a2e6499404c825fc33bfe4bd5de2025-02-03T05:45:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/910487910487Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach SpacesE. U. Ofoedu0Y. Shehu1Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, NigeriaDepartment of Mathematics, University of Nigeria, Nsukka, Enugu, NigeriaWe prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings. Our theorems extend and improve some important results which are announced recently by various authors.http://dx.doi.org/10.1155/2009/910487 |
| spellingShingle | E. U. Ofoedu Y. Shehu Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces |
| title_full | Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces |
| title_fullStr | Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces |
| title_full_unstemmed | Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces |
| title_short | Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces |
| title_sort | convergence of path and approximation of common element of null spaces of countably infinite family of m accretive mappings in uniformly convex banach spaces |
| url | http://dx.doi.org/10.1155/2009/910487 |
| work_keys_str_mv | AT euofoedu convergenceofpathandapproximationofcommonelementofnullspacesofcountablyinfinitefamilyofmaccretivemappingsinuniformlyconvexbanachspaces AT yshehu convergenceofpathandapproximationofcommonelementofnullspacesofcountablyinfinitefamilyofmaccretivemappingsinuniformlyconvexbanachspaces |