Fixed point theory and the Ulam stability

J Brzdęk, L Cădariu, K Ciepliński - Journal of function spaces, 2014 - Wiley Online Library
The fixed point method has been applied for the first time, in proving the stability results for
functional equations, by Baker (1991); he used a variant of Banach′ s fixed point theorem …

[图书][B] Fractional differential equations and inclusions: classical and advanced topics

S Abbas, M Benchohra, JE Lazreg, JJ Nieto, Y Zhou - 2023 - World Scientific
In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

A Short Survey on the Recent Fixed Point Results on -Metric Spaces

E Karapinar - Constructive Mathematical Analysis, 2018 - dergipark.org.tr
The aim of this short survey is to collect and combine basic notions and results in the fixed
point theory in the context of $ b $-metric spaces. It is also aimed to show that there are still …

Ulam‐Hyers Stability Results for Fixed Point Problems via αψ‐Contractive Mapping in (b)‐Metric Space

MF Bota, E Karapınar, O Mleşniţe - Abstract and Applied …, 2013 - Wiley Online Library
We will investigate some existence, uniqueness, and Ulam‐Hyers stability results for fixed
point problems via α‐ψ‐contractive mapping of type‐(b) in the framework of b‐metric …

Ulam stability for a delay differential equation

D Otrocol, V Ilea - Open Mathematics, 2013 - degruyter.com
Ulam stability for a delay differential equation Page 1 Cent. Eur. J. Math. • 11(7) • 2013 •
1296-1303 DOI: 10.2478/s11533-013-0233-9 Central European Journal of Mathematics Ulam …

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

HH Alsulami, S Gülyaz, E Karapınar, İM Erhan - Open Mathematics, 2016 - degruyter.com
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 …

[PDF][PDF] Fixed point theorems for generalized (α− ψ)-Ciric-type contractive multivalued operators in b-metric spaces

MF Bota, C Chifu, E Karapinar - J. Nonlinear Sci. Appl, 2016 - researchgate.net
In this paper we introduce the notion of (α∗− ψ)-Ciric-type contractive multivalued operator
and investigate the existence and uniqueness of fixed point for such a mapping in b-metric …

Some Fixed Point Theorems in b‐Metric Space Endowed with Graph

M Samreen, T Kamran… - Abstract and applied …, 2013 - Wiley Online Library
We define some notions of contraction mappings in b‐metric space endowed with a graph G
and subsequently establish some fixed point results for such classes of contractions …

[PDF][PDF] Existence and Ulam stabilities for Hadamard fractional integral equations with random effects

S Abbas, W Albarakati, M Benchohra, J Henderson - 2016 - digital.library.txstate.edu
EXISTENCE AND ULAM STABILITIES FOR HADAMARD FRACTIONAL INTEGRAL EQUATIONS
WITH RANDOM EFFECTS 1. Introduction Fractional calculu Page 1 Electronic Journal of …

ON Modified (αη)‐Contractive Mappings

MA Kutbi, M Arshad, A Hussain - Abstract and applied Analysis, 2014 - Wiley Online Library
Hussain et al.(2013) established new fixed point results in complete metric space. In this
paper, we prove fixed point results of α‐admissible mappings with respect to η, for modified …