Relative $$\varepsilon$$-pseudo weak demicompactness and measures of weak noncompactness

2020 ◽  
Vol 12 (1) ◽  
Author(s):  
Ines Chtourou ◽  
Bilel Krichen
Keyword(s):  
Measures Of Weak Noncompactness

scholarly journals Radon–Nikodým indexes and measures of weak noncompactness

2014 ◽  
Vol 267 (10) ◽  
pp. 3830-3858 ◽  
Author(s):  
B. Cascales ◽  
A. Pérez ◽  
M. Raja
Keyword(s):  
Measures Of Weak Noncompactness

scholarly journals Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Wen-Xue Zhou ◽  
Hai-Zhong Liu
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Fractional Differential Inclusions ◽  
Existence Of Weak Solutions ◽  
Nonseparated Boundary Conditions ◽  
Mönch Fixed Point Theorem ◽  
Fractional Differential ◽  
Measures Of Weak Noncompactness ◽  
Pettis Integrability

We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions. Our analysis relies on the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.

scholarly journals Measures of weak noncompactness in Banach spaces

2009 ◽  
Vol 156 (7) ◽  
pp. 1412-1421 ◽  
Author(s):  
C. Angosto ◽  
B. Cascales
Keyword(s):  
Banach Spaces ◽  
Measures Of Weak Noncompactness

scholarly journals Generalized form of fixed point theorems in Banach algebras under weak topology with an application

Filomat ◽  
2019 ◽  
Vol 33 (13) ◽  
pp. 4281-4296
Author(s):  
Najib Kaddachi
Keyword(s):  
Fixed Point ◽  
Weak Topology ◽  
Fixed Point Theorems ◽  
Banach Algebras ◽  
Coupled System ◽  
Operator Matrix ◽  
Multivalued Maps ◽  
Nonlinear Integral Equations ◽  
Block Operator ◽  
Measures Of Weak Noncompactness

In this manuscript, by means of the technique of measures of weak noncompactness, we establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix involving multivalued maps acting on suitable Banach algebras. The results obtained are then applied to a coupled system of nonlinear integral equations.

Sign in / Sign up

Export Citation Format

Share Document