Weak Convergence Theorem by a New Extragradient Method for Fixed Point Problems and Variational Inequality Problems
| dc.contributor.author | Karahan, İbrahim | |
| dc.contributor.author | Ozdemir, Murat | |
| dc.date.accessioned | 2026-03-26T14:49:06Z | |
| dc.date.available | 2026-03-26T14:49:06Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We introduce a new extragradient iterative process, motivated and inspired by [S. H. Khan, A Picard-Mann Hybrid Iterative Process, Fixed Point Theory and Applications, doi:10.1186/1687-1812-2013-69], for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality for an inverse strongly monotone mapping in a Hilbert space. Using this process, we prove a weak convergence theorem for the class of nonexpansive mappings in Hilbert spaces. Finally, as an application, we give some theorems by using resolvent operator and strictly pseudocontractive mapping. | en_US |
| dc.identifier.doi | 10.1501/Commua1_0000000704 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.uri | https://doi.org/10.1501/Commua1_0000000704 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14901/2205 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ankara Univ, Fac Sci | en_US |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Variational Inequalities | en_US |
| dc.subject | Fixed Point Problems | en_US |
| dc.subject | Weak Convergence | en_US |
| dc.title | Weak Convergence Theorem by a New Extragradient Method for Fixed Point Problems and Variational Inequality Problems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.description.department | Erzurum Technical University | en_US |
| gdc.description.departmenttemp | [Karahan, Bulletibrahim] Erzurum Tech Univ, Dept Math, TR-25240 Erzurum, Turkey; [Ozdemir, Murat] Ataturk Univ, Dept Math, TR-25240 Erzurum, Turkey | en_US |
| gdc.description.endpage | 53 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.startpage | 43 | en_US |
| gdc.description.volume | 63 | en_US |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000441801300005 |