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The Lebesgue Monotone Convergence Theorem
, 2008
"... In this article we prove the Monotone Convergence Theorem [16]. ..."
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Cited by 6 (4 self)
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In this article we prove the Monotone Convergence Theorem [16].
Vitali Convergence Theorem for Upper Integrals
"... It is shown that the Vitali convergence theorem remains valid for the ..."
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Cited by 2 (2 self)
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It is shown that the Vitali convergence theorem remains valid for the
A Unified Convergence Theorem
"... We prove a unified convergence theorem, which presents in four equivalent forms of the famous AntosikMikusinski Theorems. In particular, we show that Swartz’ three uniform convergence principles are all equivalent to the AntosikMikusinski Theorems. ..."
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We prove a unified convergence theorem, which presents in four equivalent forms of the famous AntosikMikusinski Theorems. In particular, we show that Swartz’ three uniform convergence principles are all equivalent to the AntosikMikusinski Theorems.
Convergence theorems for measures with values in . . .
"... In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in lgroups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions. ..."
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Cited by 1 (0 self)
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In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in lgroups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
The Monotone Convergence Theorem for the Riemann Integral
, 2011
"... Abstract. We present a quick proof of the Monotone Convergence Theorem of Arzela. ..."
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Abstract. We present a quick proof of the Monotone Convergence Theorem of Arzela.
CONVERGENCE THEOREMS FOR THE BIRKHOFF INTEGRAL
, 2009
"... We study the validity of Vitali’s convergence theorem for the Birkhoff integral of functions taking values in a Banach space X. On the one hand, we show that the theorem is true whenever X is isomorphic to a subspace of `∞(N). On the other hand, we prove that if X is superreflexive and has densit ..."
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We study the validity of Vitali’s convergence theorem for the Birkhoff integral of functions taking values in a Banach space X. On the one hand, we show that the theorem is true whenever X is isomorphic to a subspace of `∞(N). On the other hand, we prove that if X is superreflexive and has
Convergence Theorems for kStrictly
"... We introduce a kstrictly pseudononspreading multivalued in Hilbert spaces more general than the class of nonspreading multivalued. We establish some weak convergence theorems of the sequences generated by our iterative process. Some new iterative sequences for finding a common element of the set o ..."
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We introduce a kstrictly pseudononspreading multivalued in Hilbert spaces more general than the class of nonspreading multivalued. We establish some weak convergence theorems of the sequences generated by our iterative process. Some new iterative sequences for finding a common element of the set
Convergence theorems in Riemannian geometry
 COMPARISON GEOMETRY
, 1997
"... This is a survey on the convergence theory developed rst by Cheeger and Gromov. In their theory one is concerned with the compactness of the class of riemannian manifolds with bounded curvature and lower bound on the injectivity radius. We explain and give proofs of almost all the major results, inc ..."
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Cited by 34 (2 self)
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This is a survey on the convergence theory developed rst by Cheeger and Gromov. In their theory one is concerned with the compactness of the class of riemannian manifolds with bounded curvature and lower bound on the injectivity radius. We explain and give proofs of almost all the major results
Convergence theorems for quantum annealing
 J. Phys. A: Math. Gen
, 2006
"... Abstract. We prove several theorems to give sufficient conditions for convergence ..."
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Cited by 2 (0 self)
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Abstract. We prove several theorems to give sufficient conditions for convergence
Convergence Theorems for the Class of Zamfirescu Operators
"... In this paper, we establish two strong convergence theorems to approximate fixed points of Zamfirescu operators in normed linear spaces. In the first part of the paper the generalised Mann iteration scheme is used to establish a strong convergence theorem. Our result generalizes and improves upon, ..."
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In this paper, we establish two strong convergence theorems to approximate fixed points of Zamfirescu operators in normed linear spaces. In the first part of the paper the generalised Mann iteration scheme is used to establish a strong convergence theorem. Our result generalizes and improves upon
Results 1  10
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4,739