Related Articles ( Banach space )
Duality Between Differentiability and Minimization in Banach Spaces
In this paper we will establish a new relationship between differentiability and optimization of convex functions. We consider convex lower semi continuous functions in Banach spaces and we characterize respectively the relation between Fr´echet (Gaˆteaux) differentiability and *strong minimum ...
A Brief Note Concerning Non-Self Contractions in Banach Spaces Endowed with a Graph
In this paper, we establish the concept of non-self Hardy-Rogers contractions on Banach spaces involving a graph. We also prove some fixed point theorems for such mappings. The results of this paper extend and generalize various known results in the literature.
On the Lower Estimations for Maximal (±1)-Determinants
It is suggested several lower estimations for the determinants of matrices consisting of elements +1 and −1, improving the known Hadamard’s lower estimation.
Cartesianization of Complex Forms in Saidou’ Spaces
In this work, we propose to define a new space that will be called locally Cartesian space (Saidou’Spaces). It is a space defined by a new topology whose fundamental system of neighborhood are compact cartesian subsets, theses subsets were already defined during our previous work, “Geometrical ...
On Chaotic Operators
In this paper, we present new results on chaotic operators on Banach spaces. Also we study the relation between subspacechaoticity and the direct sum of two operators. In particular, we prove that if the direct sum of two operators is a subspacechaotic, then both operators are subspace-chaotic, but ...