TY - JOUR
T1 - Approximating the minimum-norm fixed point of pseudocontractive mappings
AU - Zegeye, H.
AU - Daman, O. A.
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
AB - We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
UR - http://www.scopus.com/inward/record.url?scp=85121906706&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85121906706&partnerID=8YFLogxK
U2 - 10.1142/S1793557115500369
DO - 10.1142/S1793557115500369
M3 - Article
AN - SCOPUS:85121906706
SN - 1793-5571
VL - 8
JO - Asian-European Journal of Mathematics
JF - Asian-European Journal of Mathematics
IS - 2
M1 - 1550036
ER -