scholarly journals Fixed point theory in WC--Banach algebras

2016 ◽  
Vol 40 ◽  
pp. 283-291 ◽  
Author(s):  
Aref JERIBI ◽  
Bilel KRICHEN ◽  
Bilel MEFTEH
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Banach Algebras ◽  
Point Theory

Fixed point theory in a new class of banach algebras and application

2012 ◽  
Vol 24 (4) ◽  
pp. 705-724 ◽  
Author(s):  
Afif Ben Amar ◽  
Soufiene Chouayekh ◽  
Aref Jeribi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Banach Algebras ◽  
Point Theory ◽  
New Class

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
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