Geodesic
COMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMS
Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 241-252

Voir la notice de l'article provenant de la source Cambridge University Press

Let C be a non-empty closed convex subset of a reflexive and strictly convex Banach space E which also has a weakly continuous duality map Jφ(x) with the gauge φ. Let S and T be non-expansive mappings from C into itself such that F = F(S) ∩ F(T) ≠ ∅. Let {αn} and {βn} be sequences in (0, 1). Let {xn} be a sequence defined bywhere u ∈ C is a given point. Assume that the following restrictions imposed on the control sequences are satisfied:Then the sequence {xn} converges strongly to x* ∈ F, where x* = Q(u) and Q: C → F is the unique sunny non-expansive retraction from C onto F.
DOI : 10.1017/S0017089509990309
Mots-clés : 47H09, 47H10, 47J25 
QIN, XIAOLONG; CHO, SUN YOUNG; ZHOU, HAIYUN. COMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMS. Glasgow mathematical journal, Tome 52 (2010) no. 2, pp. 241-252. doi: 10.1017/S0017089509990309
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