Theorem 8.4 provides a rigorous convergence result for
A metastable dominated convergence theorem
... M(F) provides a uniform ε-metastable bound for the convergence of each sequence (f n (x)) outside a set of measure at most ...ε-metastable convergence of (f n ), then M(F) provides a bound on ...
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A convergence result for a bargaining set
... The necessity of the continuity of the equilibrium mapping imposes a limitation to our convergence result. However, we find conditions on the primitives of the original finite economy that ensure the ...
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A new semilocal convergence theorem for Newton's method
... Huang [5] has recently obtained a new convergence theorem for Newton’s method, assuming that F” satisfies a Lipschitz type condition.. This new result is an alter[r] ...
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Convergence determining classes in the central limit theorem
... O u r vectors look t he s a m e as or d i n a r y variables, b u t t hei r presence s houl d be clear fr om t he cont ext . We use row vectors v = (t q, v 2, . . v m ), and wri t e v' for t h e t ra n s po s e. Proofs of ...
165
Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia
... a theorem of Furasawa ([13]) asserting, under ˆ these conditions, that δ(ˆ Γ) < δ(Γ 0 ...The result now follows immediately from Patterson-Sullivan ...Susskind-Swarup theorem and the Klein ...
15
Convergence Theorem for Class T Mappings in Hilbert Spaces
... strong convergence theorem and gave a numerical test to illustrate our main ...The result of this paper extended and improved the corresponding result given by Qiao-Li Dong and Songnian He [2] ...
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A * mixing convergence theorem for convex set valued processes
... In this paper the concept of a *-mixing process is extended to multivalued maps from a probability space into closed, bounded convex sets of a Banach space.. The main result, which requi[r] ...
8
Convergence theorem for an iterative algorithm of λ-strict pseudocontraction
... strong convergence result, one has to modify the Mann’s iteration ...strong convergence theorem for the following iterative sequence in a 2-uniformly smooth Banach space: for u, x 0 Î E and ...
8
A convergence result on random products of mappings in metric trees
... The main difficulty faced in such extensions is the heavy use of the linearity struc- ture of either the Hilbert space in [7] or Banach spaces in [14]. Indeed when one tries to extend concepts from linear functional ...
10
Strong convergence theorem for strict pseudo contractions in Hilbert spaces
... () The proof of Theorem . is easy using the properties of nonexpansive mappings and cannot be adjusted to the strict pseudo-contractive mappings. The purpose of the present paper is to show that the ...
12
Convergence Rate of Implicit Iteration Process and a Data Dependence Result
... for all x, y ∈ X, with k ∈ (0, 1), then T has a unique fixed point. Due to its applica- tions in mathematics and other related disciplines, Banach contraction principle has been generalized in many directions. Zamfirescu ...
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A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
... unified result for local convergence of Newton’s ...main theorem gives in particular a synthetic view of several famous results, namely the Kantorovich, Smale and Nesterov-Nemirovskii ...central ...
31
An existence result and evolutionary Gamma-convergence for perturbed gradient systems
... existence result in Section 2 , where we use De Giorgi’s minimization scheme using variational ...The result on the evolutionary Γ -convergence in Section 3 follows the same lines but is considerably ...
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4. An extension of a result about the order of convergence
... main result is the proposition ...This result will give more information about the convergence’s order of a sequence, more general then the one from lemma ...
10
A RIGOROUS AND COMPLETED STATEMENT ON HELMHOLTZ THEOREM
... Nanjing, 210096, China Abstract—There are some limitations on the statement of classic Helmholtz theorem although it has broad applications. Actually, it only applies to simply connected domain with single ...
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Convergence in L_p Spaces and Vitali’s Convergence Theorem
... Abstract: Convergence in 𝐿 𝑝 spaces does not imply almost everywhere convergence, it does imply another type of convergence that is often of ...a theorem that implies that if a sequence ...
6
A novel result on the revenue equivalence theorem
... Key words: Quantum game theory; Algorithmic Bayesian mechanism; Revelation principle; Revenue equivalence theorem. 1 Introduction Recently, several papers on quantum mechanism have generalized the traditional ...
6
A supplement to the convergence rate in a theorem of Heyde
... Gut, A, Spˇataru, A: Precise asymptotics in the Baum-Kate and Davis law of large numbers.. Lanzinger, H, Stadtmüller, U: Refined Baum-Katz laws for weighted sums of iid random variables.[r] ...
8
An approximation theorem and generic convergence for equilibrium problems
... approximation theorem for equilibrium problems. Ac- cording to the theorem, there are three similar ways, namely approximate functions as objective functions, similar strategies as practical strategies and ...
12
Some Result on fixed point Theorem in Hilbert Space
... 3 Research Scholar Barkatullah University, Bhopal, India (M.P.), India. Abstract This paper puts up a result regarding the generalization of the Banach contraction principle in the Hilbert space, It consist of ...
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