Ulam-Hyers stability for partial differential inclusions

Coincidence problems for generalized contractions

“…Thereafter, this type of stability is called the Ulam-Hyers stability. For Ulam-Hyers stability results in the case of fixed point problems and coincidence point problems see [1,9,12,14,15,16].…”

“…Then the equation (8) Equation (8) can be rewritten as a coincidence problem in the following form: (9) find u ∈ C + ([0, 1]) such that T u = Su.…”

Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems forα-β-Contraction Mapping in Metric Spaces

“…Subsequently, many researchers have studied and extended Ulam-Hyers stability in many ways. In particular, there are a number of results that studied and extended Ulam-Hyers stability for fixed point problems as Bota et al [3], Bota-Boriceanu and Petrusel [4], Brzdȩk et al [5], Brzdek and Cieplinski [6, 7], Cadariu et al [8], Lazǎr [9], Rus [10], and F. A. Tise and I. C. Tise [11]. …”

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

“…We refer the reader to Bota-Boriceanu, Petrusel [21], Lazȃr [22], and Rus [23], [24] for some Ulam-Hyers stability results in the case of fixed point problems.…”