Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings
<p/> <p>A new class of generalized nonlinear set-valued quasivariational inclusions involving generalized <inline-formula><graphic file="1029-242X-2007-029863-i2.gif"/></inline-formula>-accretive mappings in Banach spaces are studied, which included many varia...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/029863 |
| _version_ | 1828761641617981440 |
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| author | Jin Mao-Ming |
| author_facet | Jin Mao-Ming |
| author_sort | Jin Mao-Ming |
| collection | DOAJ |
| description | <p/> <p>A new class of generalized nonlinear set-valued quasivariational inclusions involving generalized <inline-formula><graphic file="1029-242X-2007-029863-i2.gif"/></inline-formula>-accretive mappings in Banach spaces are studied, which included many variational inclusions studied by others in recent years. By using the properties of the resolvent operator associated with generalized <inline-formula><graphic file="1029-242X-2007-029863-i3.gif"/></inline-formula>-accretive mappings, we established the equivalence between the generalized nonlinear set-valued quasi-variational inclusions and the fixed point problems, and some new perturbed iterative algorithms, proved that its proximate solution converges strongly to its exact solution in real Banach spaces.</p> |
| first_indexed | 2024-12-11T01:32:16Z |
| format | Article |
| id | doaj.art-0f06c64d48d04e7a8970023d8c2ed06d |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T01:32:16Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-0f06c64d48d04e7a8970023d8c2ed06d2022-12-22T01:25:19ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071029863Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive MappingsJin Mao-Ming<p/> <p>A new class of generalized nonlinear set-valued quasivariational inclusions involving generalized <inline-formula><graphic file="1029-242X-2007-029863-i2.gif"/></inline-formula>-accretive mappings in Banach spaces are studied, which included many variational inclusions studied by others in recent years. By using the properties of the resolvent operator associated with generalized <inline-formula><graphic file="1029-242X-2007-029863-i3.gif"/></inline-formula>-accretive mappings, we established the equivalence between the generalized nonlinear set-valued quasi-variational inclusions and the fixed point problems, and some new perturbed iterative algorithms, proved that its proximate solution converges strongly to its exact solution in real Banach spaces.</p>http://www.journalofinequalitiesandapplications.com/content/2007/029863 |
| spellingShingle | Jin Mao-Ming Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings Journal of Inequalities and Applications |
| title | Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings |
| title_full | Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings |
| title_fullStr | Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings |
| title_full_unstemmed | Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings |
| title_short | Perturbed Iterative Algorithms for Generalized Nonlinear Set-Valued Quasivariational Inclusions Involving Generalized <inline-formula><graphic file="1029-242X-2007-029863-i1.gif"/></inline-formula>-Accretive Mappings |
| title_sort | perturbed iterative algorithms for generalized nonlinear set valued quasivariational inclusions involving generalized inline formula graphic file 1029 242x 2007 029863 i1 gif inline formula accretive mappings |
| url | http://www.journalofinequalitiesandapplications.com/content/2007/029863 |
| work_keys_str_mv | AT jinmaoming perturbediterativealgorithmsforgeneralizednonlinearsetvaluedquasivariationalinclusionsinvolvinggeneralizedinlineformulagraphicfile1029242x2007029863i1gifinlineformulaaccretivemappings |