TY - JOUR
T1 - Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense
AU - Zegeye, H.
AU - Robdera, M.
AU - Choudhary, B.
PY - 2011/7
Y1 - 2011/7
N2 - In this paper, we prove a strong convergence of Ishikawa scheme to a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense. No compactness assumption is imposed either on T or C, and computation of intersection of closed convex sets Cn and Q n for each n<1 is not required. We also obtain convergence results in this direction for asymptotically strict pseudocontractive mappings in the intermediate sense. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
AB - In this paper, we prove a strong convergence of Ishikawa scheme to a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense. No compactness assumption is imposed either on T or C, and computation of intersection of closed convex sets Cn and Q n for each n<1 is not required. We also obtain convergence results in this direction for asymptotically strict pseudocontractive mappings in the intermediate sense. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
KW - Asymptotically nonexpansive mappings
KW - Asymptotically pseudocontractive mappings
KW - Strictly pseudocontractive mappings
UR - https://www.scopus.com/pages/publications/79959517134
UR - https://www.scopus.com/inward/citedby.url?scp=79959517134&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2011.05.013
DO - 10.1016/j.camwa.2011.05.013
M3 - Article
AN - SCOPUS:79959517134
SN - 0898-1221
VL - 62
SP - 326
EP - 332
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 1
ER -