Banach spaces
Almost Stable Iteration Schemes for Local Strongly Pseudocontractive and Local Strongly Accretive Operators in Real Uniformly Smooth Banach Spaces
... Rhoades [52] proved that the Mann and Ishikawa iteration methods may ex- hibit different behaviors for different classes of nonlinear operators. A few stability results for certain classes of nonlinear operators have ...
14
An Iterative Shrinking Generalized f-Projection Method for G-Quasi-strict Pseudo-contractions in Banach Spaces
... smooth Banach spaces and studied their properties in ...smooth Banach spaces to reflexive Banach spaces, and established a Mann type iterative scheme for finding the approximate ...
6
On some impulsive fractional differential equations in Banach spaces
... in Banach spaces has not yet been sufficiently ...the Banach contraction principle, Schaefer’s fixed point theorem and the nonlinear alternative of the Leray-Schauder type or measure of ...
19
On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
... Abstract. In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of ...
13
On the regularity of mild solutions to complete higher order differential equations on Banach spaces
... Unfortunately, for the complete higher differential equations, we have had little consideration about the regularity of their solutions, mainly because of the complexity of the structure[r] ...
18
The Splitting Index for Linear Differential Systems
... The asymptotic conditions on the system are dis- cussed in various function space topologies and a new concept of admissibility of a pair of Banach spaces is i[r] ...
38
Limiting Frechet Subdifferentials of Marginal Functions
... Introduction. The study of subdifferentiability of marginal functions is of great interest not only be- cause it is related to the Lagrange multipliers but also because it is connected to the study of the sensitivity of ...
6
Generalized quasi-Banach sequence spaces and measures of noncompactness
... quasi-Banach spaces. These spaces arise in a natural way as a generalization of Banach spaces, where the triangular inequality of the norm is changed by a weaker ...the Banach ...
14
Existence of solutions for nonlinear mixed type integrodifferential equation of second order
... Abstract . In this paper, we investigate the existence of solutions for nonlinear mixed Volterra- Fredholm integrodifferential equation of second order with nonlocal conditions in Banach spaces. Our ...
12
Zeros de polinômios em espaços de Banach
... a Banach space, whose dual is not separable in the weak-star topology, admits a closed linear subspace whose dual is not separable in the weak- star topology either, where the polynomial ...
111
Weak convergence under nonlinearities
... In this paper, we prove that if a Nemytskii operator maps Lp(, E) into Lq(, F), for p, q greater than 1, E, F separable Banach spaces and F reflexive, then a sequence that converge weakly and a.e. is sent ...
11
Local subdifferentials and multivariational inequalities in Banach and Frechet spaces
... Subdifferential maps play an important role in the non-smooth analysis and the op- timization theory [1–3], in nonlinear boundary value problems for partial differential equations, the theory of control of the ...
17
The Invariance of Domain for C
... In this paper, we present a version of the Invariance of Domain Theorem for nonlinear Fredholm maps of index zero between Banach spaces (or, more generally, Banach manifolds). To prove our result, we ...
7
Conjuntos de continuidade seqüencial fraca para polinômios em espaços de Banach
... This work has the purpose of presenting a study on Banach spaces about sets in which determined homogeneous continuous polynomials are weakly sequentially continu- ous. Some properties of these sets are ...
96
Neutrosophic Vector Spaces
... Also, it was shown that an element of a strong neutroso- phic vector space can be infinitely expressed as a linear combination of some elements of the neutrosophic vector space. Neutrosophic quotient spaces and ...
10
A note on mutiplication operators on Köthe-Bochner spaces
... Abstract. Let (Ω, A, µ) is a finite measure space, E an order continuous Ba- nach function space over µ, X a Banach space and E(X) the K¨ othe-Bochner space. A new simple proof is given of the result that a ...
2
Reduced Assumption in the Banach Contraction Principle
... normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than ...
3
Teoria isomorfa dos espaços de Banach C0(K,X)
... Observação 1.14. Por simplicidade, para um espaço topológico K localmente compacto de Haus- dorff estaremos assumindo de maneira implícita a σ-álgebra B(K). Também por simplicidade, para o espaço mensurável (K, B(K)) e um ...
83
Construções consistentes de espaços de Banach C (K) com poucos operadores
... de Banach, investigando propriedades dos espa¸cos de Ba- nach da forma C(K) com poucos operadores, no sentido de que todo operador em C(K) s˜ao da forma gI + S, onde I ´e o operador identidade, g ∈ C(K) e S ´e ...
121