scholarly journals Reich’s iterated function systems and well-posedness via fixed point theory

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Shaoyuan Xu ◽  
Suyu Cheng ◽  
Zuoling Zhou
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Iterated Function Systems ◽  
Point Theory ◽  
Well Posedness ◽  
Iterated Function

scholarly journals Another characterization of hyperbolic diameter diminishing to zero IFSs

2021 ◽  
Vol 37 (2) ◽  
pp. 217-226
Author(s):  
RADU MICULESCU ◽  
ALEXANDRU MIHAIL ◽  
CRISTINA-MARIA PĂCURAR
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Iterated Function System ◽  
Iterated Function Systems ◽  
Point Theory ◽  
Function System ◽  
Iterated Function ◽  
By Products

"In this paper we provide another characterization of hyperbolic diameter diminishing to zero iterated function systems that were studied in [R. Miculescu, A. Mihail, Diameter diminishing to zero IFSs, arXiv:2101.12705]. The primary tool that we use is an operator H_{\mathcal{S}}, associated to the iterated function system \mathcal{S}, which is inspired by the similar one utilized in Mihail (Fixed Point Theory Appl., 2015:75, 2015). Some fixed point results are also obtained as by products of our main result."

scholarly journals Well-Posedness and Fractals via Fixed Point Theory

2008 ◽  
Vol 2008 (1) ◽  
pp. 645419
Author(s):  
Cristian Chifu ◽  
Gabriela Petruşel
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Well Posedness

Well-posedness and common fixed points for two pairs of maps using weak contractivity

2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Mohamed Akkouchi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Well Posedness

AbstractIn 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative

2019 ◽  
Vol 14 (3) ◽  
pp. 311 ◽  
Author(s):  
Muhammad Altaf Khan ◽  
Zakia Hammouch ◽  
Dumitru Baleanu
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Numerical Scheme ◽  
Arbitrary Order ◽  
Fixed Point Theory ◽  
Hepatitis E ◽  
Point Theory ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Essential Properties

A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics. Therefore, the present work explores the HEV dynamics in fractional derivative. The Caputo–Fabriizo derivative is used to study the dynamics of HEV. First, the essential properties of the model will be presented and then describe the HEV model with CF derivative. Application of fixed point theory is used to obtain the existence and uniqueness results associated to the model. By using Adams–Bashfirth numerical scheme the solution is obtained. Some numerical results and tables for arbitrary order derivative are presented.

scholarly journals A new method in fixed point theory

1960 ◽  
Vol 34 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Richard G. Swan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
New Method

Applications of General Infimum Principles to Fixed-Point Theory and Game Theory

2007 ◽  
Vol 16 (4) ◽  
pp. 375-398 ◽  
Author(s):  
Władysław Kulpa ◽  
Andrzej Szymanski
Keyword(s):  
Game Theory ◽  
Fixed Point ◽  
Fixed Point Theory ◽  
Point Theory

scholarly journals New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-1 ◽  
Author(s):  
Wei-Shih Du ◽  
Erdal Karapınar ◽  
Lai-Jiu Lin ◽  
Gue Myung Lee ◽  
Tamaki Tanaka
Keyword(s):  
Fixed Point ◽  
Equilibrium Problems ◽  
Optimization Problems ◽  
Fixed Point Theory ◽  
Point Theory

scholarly journals LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Ruofeng Rao ◽  
Zhilin Pu
Keyword(s):  
Fixed Point ◽  
Stability Criterion ◽  
High Efficiency ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Linear Matrix ◽  
The Matrix ◽  
Matrix Exponential Function ◽  
Takagi Sugeno ◽  
First Time

By formulating a contraction mapping and the matrix exponential function, the authors apply linear matrix inequality (LMI) technique to investigate and obtain the LMI-based stability criterion of a class of time-delay Takagi-Sugeno (T-S) fuzzy differential equations. To the best of our knowledge, it is the first time to obtain the LMI-based stability criterion derived by a fixed point theory. It is worth mentioning that LMI methods have high efficiency and other advantages in largescale engineering calculations. And the feasibility of LMI-based stability criterion can efficiently be computed and confirmed by computer Matlab LMI toolbox. At the end of this paper, a numerical example is presented to illustrate the effectiveness of the proposed methods.

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