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A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”

100%
Bota M.-F., Karapınar E.
Open Mathematics
|
2013
|
tom 11
|
nr 9
1711-1712
EN
The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610–621] base on faulty evaluations. We give here correct but weaker versions of these theorems.
2
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An Ulam stability result on quasi-b-metric-like spaces

81%
Alsulami H. H., Gülyaz S., Karapınar E., Erhan İ. M.
Open Mathematics
|
2016
|
tom 14
|
nr 1
1087-1103
EN
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
3
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Fixed points for cyclic orbital generalized contractions on complete metric spaces

81%
Karapınar E., Romaguera S., Taş K.
Open Mathematics
|
2013
|
tom 11
|
nr 3
552-560
EN
We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293–303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.
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