Details

Autor(en) / Beteiligte

• TAKAHASHI, W
• TOYODA, M

Titel

Weak convergence theorems for nonexpansive mappings and monotone mappings

Ist Teil von

• Journal of optimization theory and applications, 2003-08, Vol.118 (2), p.417-428

Ort / Verlag

New York, NY: Springer

Erscheinungsjahr

2003

Quelle

SpringerLink

Beschreibungen/Notizen

• In this paper, we introduce an iteration process of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an inverse strongly-monotone mapping, and then obtain a weak convergence theorem. Using this result, we obtain a weak convergence theorem for a pair of a nonexpansive mapping and a strictly pseudocontractive mapping. Further, we consider the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping.