An Ulam stability result on quasi-b-metric-like spaces

Hamed H. Alsulami; Selma Gülyaz; Erdal Karapınar; İnci M. Erhan

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 1087-1103
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Hamed H. Alsulami, et al. "An Ulam stability result on quasi-b-metric-like spaces." Open Mathematics 14.1 (2016): 1087-1103. <http://eudml.org/doc/287122>.

@article{HamedH2016,
abstract = {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.},
author = {Hamed H. Alsulami, Selma Gülyaz, Erdal Karapınar, İnci M. Erhan},
journal = {Open Mathematics},
keywords = {Fixed point; Quasi-b-metric like; α-admissible contraction mappings; Ulam-Hyers stability; fixed point; quasi-$b$-metric like; $\alpha $-admissible contraction mappings},
language = {eng},
number = {1},
pages = {1087-1103},
title = {An Ulam stability result on quasi-b-metric-like spaces},
url = {http://eudml.org/doc/287122},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Hamed H. Alsulami
AU - Selma Gülyaz
AU - Erdal Karapınar
AU - İnci M. Erhan
TI - An Ulam stability result on quasi-b-metric-like spaces
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1087
EP - 1103
AB - 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.
LA - eng
KW - Fixed point; Quasi-b-metric like; α-admissible contraction mappings; Ulam-Hyers stability; fixed point; quasi-$b$-metric like; $\alpha $-admissible contraction mappings
UR - http://eudml.org/doc/287122
ER -

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