| dc.creator | Manaka, Hiroko | |
| dc.creator | Takahashi, Wataru | |
| dc.date | 2011-03-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1379 | |
| dc.identifier | 10.4067/S0719-06462011000100002 | |
| dc.description | Let C be a closed convex subset of a real Hilbert space H. Let T be a nonspreading mapping of C into itself, let A be an α-inverse strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C. We introduce an iterative sequence of finding a point of F(T)∩(A+B) −10, where F(T) is the set of fixed points of T and (A + B)−10 is the set of zero points of A + B. Then, we obtain the main result which is related to the weak convergence of the sequence. Using this result, we get a weak convergence theorem for finding a common fixed point of a nonspreading mapping and a nonexpansive mapping in a Hilbert space. Further, we consider the problem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonspreading mapping. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1379/1231 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal; 11–24 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 13 Núm. 1 (2011): CUBO, A Mathematical Journal; 11–24 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Nonspreading mapping | en-US |
| dc.subject | maximal monotone operator | en-US |
| dc.subject | inverse strongly-monotone mapping | en-US |
| dc.subject | fixed point | en-US |
| dc.subject | iteration procedure | en-US |
| dc.title | Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
