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.
@article{bwmeta1.element.doi-10_1515_wwfaa-2017-0005,
author = {Safeer Hussain Khan and Mujahid Abbas and Talat Nazir},
title = {Existence and approximation results for SKC mappings in Busemann spaces},
journal = {Waves, Wavelets and Fractals},
volume = {3},
year = {2017},
pages = {48-60},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0005}
}
Safeer Hussain Khan; Mujahid Abbas; Talat Nazir. Existence and approximation results for SKC mappings in Busemann spaces. Waves, Wavelets and Fractals, Tome 3 (2017) pp. 48-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0005/