TY - JOUR
T1 - On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces
AU - Bin Dehaish, Buthinah A.
AU - Khamsi, Mohamed A.
AU - Kozlowski, Wojciech M.
N1 - Funding Information:
This work was funded by the Deanship of Scientific Research (DSR), King AbdulazizUniversity, Jeddah, under Grant No. (247-001-D1434). The authors,therefore, acknowledge with thanks technical and financial support of DSR.
Publisher Copyright:
© 2015, Bin Dehaish et al.; licensee Springer.
PY - 2015/12/29
Y1 - 2015/12/29
N2 - Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.
AB - Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.
KW - fixed point
KW - modular function space
KW - nonexpansive mapping
KW - Orlicz space
KW - pointwise Lipschitzian mapping
KW - pointwise nonexpansive mapping
KW - semigroup
KW - uniform convexity
UR - http://www.scopus.com/inward/record.url?scp=84930201166&partnerID=8YFLogxK
U2 - 10.1186/1687-1812-2015-3
DO - 10.1186/1687-1812-2015-3
M3 - Article
AN - SCOPUS:84930201166
SN - 1687-1820
VL - 2015
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
IS - 1
ER -