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Citation - WoS: 67
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: 11
Citation - Scopus: 20
The Taylor Series Method and Trapezoidal Rule on Time Scales
(Elsevier Science inc, 2020) Georgiev, Svetlin G.; Erhan, Inci M.
The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed. (c) 2020 Elsevier Inc. All rights reserved.