Convergence Theorems for an Iteration of Non-Lipschitzian Nonself Mappings in Banach Spaces
In this study,a new iteration with errors for non-Lipschitzian nonself mappings in the uniformly convex Banach space is introduced.The convergence of such iteration is investigated and which proves that if the uniformly convex Banach space X satisfies Opial's condition or its dual space X~* has...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Editorial Department of Journal of Nantong University (Natural Science Edition)
2021-03-01
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| Series: | Nantong Daxue xuebao. Ziran kexue ban |
| Subjects: |
| Summary: | In this study,a new iteration with errors for non-Lipschitzian nonself mappings in the uniformly convex Banach space is introduced.The convergence of such iteration is investigated and which proves that if the uniformly convex Banach space X satisfies Opial's condition or its dual space X~* has the Kadec-Klee property,then F(T) is nonempty if and only if {x_n} converges weakly to x and■.The strong convergence theorem under the condition Browder-Petryshyn(BP) which is strictly weak than the complete continuity is provided. |
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| ISSN: | 1673-2340 |