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Citation - WoS: 68
An Ulam stability result on quasi-b-metric-like spaces
(Sciendo, 2016) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
In this paper a class of general type alpha-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.
Citation - WoS: 7
Citation - Scopus: 6
Qualitative Properties of the Solution of a System of Operator Inclusions in b-metric Spaces Endowed With a Graph
(Springer Singapore Pte Ltd, 2018) Chifu, Cristian; Karapinar, Erdal; Petrusel, Gabriela
The purpose of this paper is to present existence and uniqueness results for the solution of a system of operator inclusions. Data dependence, well-posedness, Ulam-Hyers stability, and Ostrovski stability of the coupled fixed point system are studied. The basic idea is to apply a fixed point theorem for an appropriate operator on the Cartesian product of a given b-metric space endowed with a graph.