In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results also improve the recent results of Daffer and Kaneko [16].
@article{bwmeta1.element.doi-10_2478_s11533-008-0047-3,
author = {Memudu Olatinwo},
title = {Some results on multi-valued weakly jungck mappings in b-metric space},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {610-621},
zbl = {1175.47055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0047-3}
}
Memudu Olatinwo. Some results on multi-valued weakly jungck mappings in b-metric space. Open Mathematics, Tome 6 (2008) pp. 610-621. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0047-3/
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