Existence and approximation results for SKC mappings in Busemann spaces

Safeer Hussain Khan, Mujahid Abbas, and Talat Nazir. "Existence and approximation results for SKC mappings in Busemann spaces." Waves, Wavelets and Fractals 3.1 (2017): 48-60. <http://eudml.org/doc/288366>.

@article{SafeerHussainKhan2017,
abstract = {In this paper, we first discuss some properties of SKC mappings in the context of Busemann spaces and obtain a demiclosedness principle.We then prove the existence and approximation results for SKC mappings in a uniformly convex Busemann space. At the end, we give a numerical example in support of our main result. This example also shows that our iterative process is faster than some well-known iterative processes even for SKC mappings. Our results are certainly more general than many results in the contemporary literature.},
author = {Safeer Hussain Khan, Mujahid Abbas, Talat Nazir},
journal = {Waves, Wavelets and Fractals},
keywords = {SKC mapping; iterative process; strong convergence; Δ convergence; Busemann space},
language = {eng},
number = {1},
pages = {48-60},
title = {Existence and approximation results for SKC mappings in Busemann spaces},
url = {http://eudml.org/doc/288366},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Safeer Hussain Khan
AU - Mujahid Abbas
AU - Talat Nazir
TI - Existence and approximation results for SKC mappings in Busemann spaces
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 48
EP - 60
AB - In this paper, we first discuss some properties of SKC mappings in the context of Busemann spaces and obtain a demiclosedness principle.We then prove the existence and approximation results for SKC mappings in a uniformly convex Busemann space. At the end, we give a numerical example in support of our main result. This example also shows that our iterative process is faster than some well-known iterative processes even for SKC mappings. Our results are certainly more general than many results in the contemporary literature.
LA - eng
KW - SKC mapping; iterative process; strong convergence; Δ convergence; Busemann space
UR - http://eudml.org/doc/288366
ER -