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

DOI

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
@article{10_1017_S0017089509990309,
     author = {QIN, XIAOLONG and CHO, SUN YOUNG and ZHOU, HAIYUN},
     title = {COMMON {FIXED} {POINTS} {OF} {A} {PAIR} {OF} {NON-EXPANSIVE} {MAPPINGS} {WITH} {APPLICATIONS} {TO} {CONVEX} {FEASIBILITY} {PROBLEMS}},
     journal = {Glasgow mathematical journal},
     pages = {241--252},
     year = {2010},
     volume = {52},
     number = {2},
     doi = {10.1017/S0017089509990309},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990309/}
}
TY  - JOUR
AU  - QIN, XIAOLONG
AU  - CHO, SUN YOUNG
AU  - ZHOU, HAIYUN
TI  - COMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMS
JO  - Glasgow mathematical journal
PY  - 2010
SP  - 241
EP  - 252
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990309/
DO  - 10.1017/S0017089509990309
ID  - 10_1017_S0017089509990309
ER  - 
%0 Journal Article
%A QIN, XIAOLONG
%A CHO, SUN YOUNG
%A ZHOU, HAIYUN
%T COMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMS
%J Glasgow mathematical journal
%D 2010
%P 241-252
%V 52
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990309/
%R 10.1017/S0017089509990309
%F 10_1017_S0017089509990309

Cité par Sources :