Dense sets and certain estimates for the norms of the embedding operator in Banach spaces

1977 ◽  
Vol 17 (4) ◽  
pp. 559-564 ◽  
Author(s):  
N. K. Bliev ◽  
M. O. Otelbaev
Keyword(s):  
Banach Spaces ◽  
Embedding Operator ◽  
Dense Sets

Fredholm Theory in Banach Spaces

1986 ◽  
Author(s):  
Anthony Francis Ruston
Keyword(s):  
Banach Spaces ◽  
Fredholm Theory

Geometric Aspects of Banach Spaces

1989 ◽  
Keyword(s):  
Banach Spaces

Stability and non-stability of generalized radical cubic functional equation in quasi-$\beta$-Banach spaces

2019 ◽  
Vol 12 (3) ◽  
pp. 175-190
Author(s):  
Iz-iddine EL-Fassi ◽  
John Michael Rassias
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Cubic Functional Equation

On the First Mixed Problem in Banach Spaces for Degenerate Parabolic Equations with Changing Time Direction

Vestnik MEI ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 121-128
Author(s):  
Igor M. Petrushko ◽  
◽  
Maksim I. Petrushko ◽  
Keyword(s):  
Banach Spaces ◽  
Mixed Problem ◽  
Parabolic Equations ◽  
Degenerate Parabolic Equations ◽  
Time Direction ◽  
Degenerate Parabolic

Controllability for some nonlinear impulsive partial functional integrodifferential systems with infinite delay in Banach spaces

2020 ◽  
Vol 4 (2) ◽  
pp. 104-115
Author(s):  
Khalil Ezzinbi ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integrodifferential Equation ◽  
Resolvent Operator ◽  
Measure Of Noncompactness ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Mönch Fixed Point Theorem ◽  
The Resolvent Operator

This work concerns the study of the controllability for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point Theorem. As a result, we obtain a generalization of the work of K. Balachandran and R. Sakthivel (Journal of Mathematical Analysis and Applications, 255, 447-457, (2001)) and a host of important results in the literature, without assuming the compactness of the resolvent operator. An example is given for illustration.

On $\alpha$-nonexpansive mapping and fixed-points in Banach spaces

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
Prondanai Kaskasem ◽  
Chakkrid Klin-eam ◽  
Suthep Suantai
Keyword(s):  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Banach Spaces
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