Strong convergence theorems of a new hybrid projection method for finite family of two hemi-relatively nonexpansive mappings in a Banach space

Kriengsak Wattanawitoon, and Poom Kumam. "Strong convergence theorems of a new hybrid projection method for finite family of two hemi-relatively nonexpansive mappings in a Banach space." Banach Center Publications 92.1 (2011): 379-390. <http://eudml.org/doc/286312>.

@article{KriengsakWattanawitoon2011,
abstract = {In this paper, we prove strong convergence theorems of the hybrid projection algorithms for finite family of two hemi-relatively nonexpansive mappings in a Banach space. Using this result, we also discuss the resolvents of two maximal monotone operators in a Banach space. Our results modify and improve the recently ones announced by Plubtieng and Ungchittrakool [Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space, J. Approx. Theory 149 (2007), 103-115], Matsushita and Takahashi [A strong convergence theorem for relatively nonexpansive mappings in a Banach space, J. Approx. Theory 134 (2005), 257-266] and many others.},
author = {Kriengsak Wattanawitoon, Poom Kumam},
journal = {Banach Center Publications},
keywords = {strong convergence theorem; hybrid projection; finite family; hemirelatively nonexpansive mapping},
language = {eng},
number = {1},
pages = {379-390},
title = {Strong convergence theorems of a new hybrid projection method for finite family of two hemi-relatively nonexpansive mappings in a Banach space},
url = {http://eudml.org/doc/286312},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Kriengsak Wattanawitoon
AU - Poom Kumam
TI - Strong convergence theorems of a new hybrid projection method for finite family of two hemi-relatively nonexpansive mappings in a Banach space
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 379
EP - 390
AB - In this paper, we prove strong convergence theorems of the hybrid projection algorithms for finite family of two hemi-relatively nonexpansive mappings in a Banach space. Using this result, we also discuss the resolvents of two maximal monotone operators in a Banach space. Our results modify and improve the recently ones announced by Plubtieng and Ungchittrakool [Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space, J. Approx. Theory 149 (2007), 103-115], Matsushita and Takahashi [A strong convergence theorem for relatively nonexpansive mappings in a Banach space, J. Approx. Theory 134 (2005), 257-266] and many others.
LA - eng
KW - strong convergence theorem; hybrid projection; finite family; hemirelatively nonexpansive mapping
UR - http://eudml.org/doc/286312
ER -