Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings
Kittipong Sitthikul; Satit Saejung
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2009)
- Volume: 48, Issue: 1, page 139-152
- ISSN: 0231-9721
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topSitthikul, Kittipong, and Saejung, Satit. "Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 48.1 (2009): 139-152. <http://eudml.org/doc/35183>.
@article{Sitthikul2009,
abstract = {In this paper, weak and strong convergence of finite step iteration sequences to a common fixed point for a pair of a finite family of nonexpansive mappings and a finite family of asymptotically nonexpansive mappings in a nonempty closed convex subset of uniformly convex Banach spaces are presented.},
author = {Sitthikul, Kittipong, Saejung, Satit},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Nonexpansive mapping; asymptotically nonexpansive mapping; common fixed point; finite-step iterative sequence; weak convergence; asymptotically nonexpansive mapping; common fixed point; finite-step iterative sequence},
language = {eng},
number = {1},
pages = {139-152},
publisher = {Palacký University Olomouc},
title = {Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings},
url = {http://eudml.org/doc/35183},
volume = {48},
year = {2009},
}
TY - JOUR
AU - Sitthikul, Kittipong
AU - Saejung, Satit
TI - Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2009
PB - Palacký University Olomouc
VL - 48
IS - 1
SP - 139
EP - 152
AB - In this paper, weak and strong convergence of finite step iteration sequences to a common fixed point for a pair of a finite family of nonexpansive mappings and a finite family of asymptotically nonexpansive mappings in a nonempty closed convex subset of uniformly convex Banach spaces are presented.
LA - eng
KW - Nonexpansive mapping; asymptotically nonexpansive mapping; common fixed point; finite-step iterative sequence; weak convergence; asymptotically nonexpansive mapping; common fixed point; finite-step iterative sequence
UR - http://eudml.org/doc/35183
ER -
References
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