Iterative Approximation of Fixed Points ofp-nonexpansive Multivalued Mappings in Modular Function
| dc.contributor.advisor | Zegeye, Habtu(Professor) | |
| dc.contributor.author | Woldie, Wondimu | |
| dc.date.accessioned | 2018-07-19T07:18:36Z | |
| dc.date.accessioned | 2023-11-04T12:30:43Z | |
| dc.date.available | 2018-07-19T07:18:36Z | |
| dc.date.available | 2023-11-04T12:30:43Z | |
| dc.date.issued | 2017-04-20 | |
| dc.description.abstract | The existence and iterative approximation offxed points of single- valued and multi-valued mappings in modular function spaces have been studied by many well known Mathematicians. Due to its appli- cability in real world problems such as Market Economy and Game theory and other applied mathematics such as Diferential equations and Optimization theory, the study of fxed point theory has contin- ued in modular function spaces. In this thesis, we constructed a Mann-type iterative scheme and proved the fconvergence of the scheme to common _xed point of nite family of -nonexpansive multi-valued mappings. We also proved the convergence of Ishikawa-type iterative scheme to com- mon fxed point of two nonexpansive multivalued mappings un- der certain mild conditions on the mappings and the set on which the mappings are defned. Moreover, we introduced a new class of multi-valued mappings in modular function spaces called quasi nonexpansive mapping and proved the fconvergence of Mann-type iterative scheme to common fxed point of fnite family of this class of mappings in modular function spaces. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9373 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Iterative Approximation | en_US |
| dc.subject | of Fixed Points of p-nonexpansive | en_US |
| dc.title | Iterative Approximation of Fixed Points ofp-nonexpansive Multivalued Mappings in Modular Function | en_US |
| dc.type | Thesis | en_US |