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Banach space
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Part 1 book "Foundations of geometric continuum mechanics" includes content: The elasticity problem; symmetry and dynamics, banachable spaces of sections of vector bundles over compact manifolds; manifolds of sections and embeddings; the general framework for global analytic stress theory; dual spaces corresponding to spaces of differentiable sections of a vector bundle - localization of sections and functionals; de rham currents; interlude - singular distributions of defects in bodies, vector valued currents; the representation of forces by stresses and hyperstresses,.... and other contents.
410p
dianmotminh01
14-05-2024
3
0
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Part 1 of ebook "Measure, integration and real analysis" provides readers with contents including: chapter 1 - Riemann integration; chapter 2 - Measures; chapter 3 - Integration; chapter 4 - Differentiation; chapter 5 - Product measures; chapter 6 - Banach spaces;...
211p
tieulangtran
28-09-2023
8
2
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Part 1 of ebook "Spectral theory and quantum mechanics: Mathematical foundations of quantum theories, symmetries and introduction to the algebraic formulation" provides readers with content including: introduction and mathematical backgrounds; normed and banach spaces, examples and applications; Hilbert spaces and bounded operators; families of compact operators on Hilbert spaces and fundamental properties; densely-defined unbounded operators on Hilbert spaces;...
410p
lytamnguyet
04-08-2023
5
3
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Part 1 of ebook "Tensor spaces and numerical tensor calculus" provides readers with content including: algebraic tensors; matrix tools; algebraic foundations of tensor spaces; functional analysis of tensor spaces; banach tensor spaces; general techniques; minimal subspaces;...
221p
lytamnguyet
04-08-2023
4
3
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Based on our previous result and by using the technique on α-minimal and X-minimal sets with respect to the Kuratowski and Hausdorff measures of noncompactness, we give some new geometric characterizations of extremal sets in Hilbert spaces.
6p
vimaryamnawaz
04-08-2022
3
2
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The aim of this article "Weak tautness and hyperconvexity in Hilbert spaces" is to introduce the notions of weak tautness and hyperconvexity of a domain in a Banach space and to establish the relation between them. Moreover, some conditions under which a balanced domain in a Hilbert space and a Hartogs domain in a Banach space are hyperconvex are also given.
14p
runordie5
04-07-2022
4
1
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The relation between weak extensibility and extensibility of vector-valued holomorphic functions on open sets and on compact sets has been investigated by many authors, for example Ligocka and Siciak for open sets in a metric vector space, Siciakand Waelbroeck for compact sets in \({{C^n}}\), N. V. Khue and B. D. Tac for compact sets in a nuclear metric vector space. The aim of the present note is to prove some results for Banach-valued meromorphic functions on open sets and on compact sets in \({{C^n}}\).
6p
runordie5
04-07-2022
22
3
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In this paper, we establish existence results of fixed point for mixed monotone operators in a real Hausdorff locally convex topological vector space without normality of cone. Our result is an extension of Z. Zhang- K. Wang.
7p
viirenerosenfeld
02-06-2022
12
1
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The purpose of this paper is to combine the Bregman distance with the shrinking projection method to introduce a new hybrid iteration process for a generalized mixed equilibrium problem and a Bregman totally quasi-asymptotically nonexpansive mapping.
17p
viellenkullman
16-05-2022
11
1
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Purpose: Study the existence of inertial manifolds and the asymptotic behavior of solutions to certain classes of evolution equations in an infinite-dimensional Banach space. The evolution equations considered with the linear parts is the generator of a semigroup and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to admissible function spaces which contain wide classes of function spaces like Lp-spaces, the Lorentz spaces Lp,q and many other function spaces occurring in interpolation theory.
27p
tunelove
10-06-2021
21
3
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It is the objective of this paper to prove some xed point theorems for multivalued mappings. Among other things, we extend Theorem 1.3 to nonself-mappings. Also a simple proof of Theorem 1.3 is presented. Moreover, we give an armative answer to a question of Deimling. A negative answer to a question of Downing and Kirk is included as well.
14p
larachdumlanat127
20-12-2020
7
2
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In this paper, on the base of the discrepancy principle for regularization parameter choice, the convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear ill-posed problems with m-accretive perturbations are established without demanding the weak continuity of the duality mapping of the Banach spaces.
8p
tamynhan5
10-12-2020
8
2
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In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.
16p
tamynhan9
02-12-2020
19
2
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In this paper, we prove a stability estimate of H¨older type and propose a regularization method with error estimates of H¨older type for an inverse heat source problem in the Banach space L1(R n ).
9p
quenchua7
07-08-2020
18
1
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In this work, we consider a model formulated by a dynamical system and an elliptic variational inequality. We prove the solvability of initial value and periodic problems. Finally, an illustrative example is given to show the applicability of our results.
14p
nguathienthan6
06-07-2020
9
0
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Existence, uniqueness and stability solution of volterra friedholm of integro differential equations
This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris.
14p
cleopatrahuynh
01-06-2020
25
0
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Research optimality conditions for local weak efficient solution in vector equilibrium problem involving set, inequality and equality constraints with stable functions via contingent derivatives in finite-dimensional spaces. Research optimality conditions for weak, Henig, global and superefficient solutions in vector equilibrium problems with steady. Research second order optimality conditions for weak, Henig, global, super-efficient solutions in vector equilibrium problems with arbitrary functions in terms of contingent epiderivatives in Banach spaces.
26p
xacxuoc4321
11-07-2019
16
4
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The results of this thesis are: Propose and prove the strong convergence of a new modification of the Newton-Kantorovich iterative regularization method (0.6) to solve the problem (0.1) with A is a monotone mapping from Banach space E into the dual space E ∗ , which overcomes the drawbacks of method (0.6).
26p
xacxuoc4321
09-07-2019
24
4
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The research introduces CR-iteration process and establishes some results about the weak and strong convergence of CR-iteration process to common fixed points of three G-nonexpansive mappings in uniformly convex Banach spaces with graphs. In addition, a numerical example is provided to illustrate for the convergence of CR-iteration process to common fixed points three Gnonexpansive mappings.
15p
vicross2711
20-06-2019
17
1
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This paper is devoted to hyperstonean spaces that are precisely the Stone spaces of measure algebras, or the Stone spaces of the Boolean algebras of Lp-projections of Banach spaces for 1 ≤ p < ∞, p ̸= 2. Several new results that have been achieved recently are discussed.
8p
nutifooddau
21-01-2019
13
2
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