On multivalued nonlinear variational inclusion problems with <inline-formula><graphic file="1029-242X-2006-59836-i1.gif"/></inline-formula>-accretive mappings in Banach spaces
<p/> <p>Based on the notion of <inline-formula><graphic file="1029-242X-2006-59836-i2.gif"/></inline-formula>-accretive mappings and the resolvent operators associated with <inline-formula><graphic file="1029-242X-2006-59836-i3.gif"/><...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/59836 |
| Summary: | <p/> <p>Based on the notion of <inline-formula><graphic file="1029-242X-2006-59836-i2.gif"/></inline-formula>-accretive mappings and the resolvent operators associated with <inline-formula><graphic file="1029-242X-2006-59836-i3.gif"/></inline-formula>-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problems with <inline-formula><graphic file="1029-242X-2006-59836-i4.gif"/></inline-formula>-accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving <inline-formula><graphic file="1029-242X-2006-59836-i5.gif"/></inline-formula>-accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in <inline-formula><graphic file="1029-242X-2006-59836-i6.gif"/></inline-formula>-uniformly smooth Banach spaces.</p> |
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| ISSN: | 1025-5834 1029-242X |