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Some results on stability and on characterization of K-convexity of set-valued functions

100%

Cardinali T. , Papalini F.

1993

tom 58

nr 2

185-192

We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.

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

100%

Alsulami H. H. , Gülyaz S. , Karapınar E. , Erhan İ. M.

Open Mathematics

2016

tom 14

nr 1

1087-1103

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.

Ulam stability for a delay differential equation

100%

Otrocol D. , Ilea V.

Open Mathematics

2013

tom 11

nr 7

1296-1303

We study the Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for a delay differential equation. Some examples are given.

Ulam-Hyers stability of a parabolic partial differential equation

51%

Marian D. , Ciplea S. A. , Lungu N.

Demonstratio Mathematica

2019

tom Vol. 52, nr 1

475--481

The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. Some examples are given, one of them being the Black-Scholes equation.