TY - JOUR
T1 - An algorithm for finding common solutions of various problems in nonlinear operator theory
AU - Ofoedu, Eric U.
AU - Odumegwu, Jonathan N.
AU - Zegeye, Habtu
AU - Shahzad, Naseer
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this paper, it is our aim to prove strong convergence of a new iterative algorithm to a common element of the set of solutions of a finite family of classical equilibrium problems; a common set of zeros of a finite family of inverse strongly monotone operators; the set of common fixed points of a finite family of quasi-nonexpansive mappings; and the set of common fixed points of a finite family of continuous pseudocontractive mappings in Hilbert spaces on assumption that the intersection of the aforementioned sets is not empty. Moreover, the common element is shown to be the metric projection of the initial guess on the intersection of these sets.
AB - In this paper, it is our aim to prove strong convergence of a new iterative algorithm to a common element of the set of solutions of a finite family of classical equilibrium problems; a common set of zeros of a finite family of inverse strongly monotone operators; the set of common fixed points of a finite family of quasi-nonexpansive mappings; and the set of common fixed points of a finite family of continuous pseudocontractive mappings in Hilbert spaces on assumption that the intersection of the aforementioned sets is not empty. Moreover, the common element is shown to be the metric projection of the initial guess on the intersection of these sets.
UR - http://www.scopus.com/inward/record.url?scp=84899893946&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84899893946&partnerID=8YFLogxK
U2 - 10.1186/1687-1812-2014-9
DO - 10.1186/1687-1812-2014-9
M3 - Article
AN - SCOPUS:84899893946
SN - 1687-1820
VL - 2014
JO - Fixed Point Theory and Algorithms for Sciences and Engineering
JF - Fixed Point Theory and Algorithms for Sciences and Engineering
M1 - 9
ER -