TY - JOUR
ID - 22988
TI - Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Soori, Ebrahim
AD - Department of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.
Y1 - 2017
PY - 2017
VL - 06
IS - 1
SP - 49
EP - 68
KW - Continuous representation
KW - Fixed point
KW - Equilibrium problem
KW - Nonexpansive mapping
KW - Variational inequality
DO - 10.22130/scma.2017.22988
N2 - This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.
UR - http://scma.maragheh.ac.ir/article_22988.html
L1 - http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf
ER -