Strong approximation of the solutions of a system of operator equations in Hilbert spaces
| dc.contributor.author | Karakostas, G. L. | en |
| dc.date.accessioned | 2015-11-24T17:21:13Z | |
| dc.date.available | 2015-11-24T17:21:13Z | |
| dc.identifier.issn | 1023-6198 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12438 | |
| dc.rights | Default Licence | - |
| dc.subject | hilbert spaces | en |
| dc.subject | difference equations | en |
| dc.subject | recurrence inequality | en |
| dc.subject | convergence | en |
| dc.subject | asymptotically nonexpansive-mappings | en |
| dc.subject | strong-convergence theorems | en |
| dc.subject | banach-spaces | en |
| dc.subject | fixed-points | en |
| dc.subject | generalized projection | en |
| dc.subject | accretive-operators | en |
| dc.subject | nonlinear operators | en |
| dc.subject | nonself maps | en |
| dc.subject | iteration | en |
| dc.title | Strong approximation of the solutions of a system of operator equations in Hilbert spaces | en |
| heal.abstract | We give sharp conditions for the strong approximation of the solutions of a system of the form F(i)u(i) + Sigma(k)(j=1)q(ij)u(j) = 0, i = 1,2,..., k, by the solutions of a system of difference equations of the form u(i)((n+1)) = P(Di)(u(i)(n) - a(n) (F(i)u(i)(n) + Sigma(k)(j=1)q(ij)u(j)(n) + c(n)u(i)(n))), where F(i) are monotone operators in a Hilbert space and P(Di) is the metric projection. Thus, the results complete (and correct) those by Chidume et al. [Chidume, C.E. and Zegeye, H., 2004, Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert spaces, Proceedings of the American Mathematical Society , 133(3), 851-858]. Also, we are interested in what happens when small perturbations of F(i) and q(ij) occur. Meanwhile, we generalize a numerical difference inequality due to Alber (see, e.g. Alber, Ya. I., 1983, Recurrence relations and variational inequalities, Soviet Mathematics Doklady , 27, 511-517) which is used to obtain approximation results. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1080/10236190600652345 | - |
| heal.identifier.secondary | <Go to ISI>://000238561500007 | - |
| heal.identifier.secondary | http://www.tandfonline.com/doi/pdf/10.1080/10236190600652345 | - |
| heal.journalName | Journal of Difference Equations and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2006 | - |
| heal.publisher | Taylor & Francis | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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