The Experts below are selected from a list of 207 Experts worldwide ranked by ideXlab platform
Songtao Lv - One of the best experts on this subject based on the ideXlab platform.
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strong convergence of a parallel iterative algorithm in a Reflexive Banach Space
Fixed Point Theory and Applications, 2014Co-Authors: Yuan Qing, Songtao LvAbstract:In this paper, a parallel iterative algorithm is investigated for common zeros of a family of m-accretive operators. Strong convergence theorems are established in a Reflexive Banach Space. MSC: 47H06; 47H09
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some results on continuous pseudo contractions in a Reflexive Banach Space
Journal of Inequalities and Applications, 2013Co-Authors: Songtao LvAbstract:In this paper, we investigate fixed point problems of a continuous pseudo-contraction based on a viscosity iterative scheme. Strong convergence theorems are established in a Reflexive Banach Space which also enjoys a weakly continuous duality mapping.
Yuan Qing - One of the best experts on this subject based on the ideXlab platform.
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strong convergence of a parallel iterative algorithm in a Reflexive Banach Space
Fixed Point Theory and Applications, 2014Co-Authors: Yuan Qing, Songtao LvAbstract:In this paper, a parallel iterative algorithm is investigated for common zeros of a family of m-accretive operators. Strong convergence theorems are established in a Reflexive Banach Space. MSC: 47H06; 47H09
Th Schlumprecht - One of the best experts on this subject based on the ideXlab platform.
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a universal Reflexive Space for the class of uniformly convex Banach Spaces
Mathematische Annalen, 2006Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable Reflexive Banach Space into which every separable uniformly convex Banach Space isomorphically embeds. This solves problems raised by J. Bourgain [B] in 1980 and by W. B. Johnson in 1977 [Jo]. We also give intrinsic characterizations of separable Reflexive Banach Spaces which embed into a Reflexive Space with a block q-Hilbertian and/or a block p-Besselian finite dimensional decomposition.
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a universal Reflexive Space for the class of uniformly convex Banach Spaces
arXiv: Functional Analysis, 2005Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable Reflexive Banach Space into which every separable uniformly convex Banach Space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable Reflexive Banach Spaces which embed into a Reflexive Space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.
Michel Théra - One of the best experts on this subject based on the ideXlab platform.
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Continuous Sets and Non-Attaining Fuctionals in Reflexive Banach Spaces
Variational Analysis and Applications, 2020Co-Authors: Emil Ernst, Michel ThéraAbstract:In this paper we prove, in the framework of Reflexive Banach Spaces, that a linear and continuous functional f achieves its supremum on every small e -uniform perturbation of a closed convex set C containing no lines, if and only if f belongs to the norm-interior of the barrier cone of C. This result is applied to prove that every closed convex subset C of a Reflexive Banach Space X which contains no lines is continuous if and only if every small e -uniform perturbation of C does not allow non-attaining linear and continuous functionals. Finally, we define a new class of non-coercive variational inequalities and state a corresponding open problem.
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Slice-continuous sets in Reflexive Banach Spaces: convex constrained optimization and strict convex separation
Journal of Functional Analysis, 2005Co-Authors: Emil Ernst, Michel Théra, Constantin ZălinescuAbstract:The concept of continuous set has been used in finite dimension by Gale and Klee and recently by Auslender and Coutat. Here, we introduce the notion of slice-continuous set in a Reflexive Banach Space and we show that the class of such sets can be viewed as a subclass of the class of continuous sets. Further, we prove that every nonconstant real-valued convex and continuous function, which has a global minima, attains its infimum on every nonempty convex and closed subset of a Reflexive Banach Space if and only if its nonempty level sets are slice-continuous. Thereafter, we provide a new separation property for closed convex sets, in terms of slice-continuity, and conclude this article by comments.
Edward Odell - One of the best experts on this subject based on the ideXlab platform.
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a universal Reflexive Space for the class of uniformly convex Banach Spaces
Mathematische Annalen, 2006Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable Reflexive Banach Space into which every separable uniformly convex Banach Space isomorphically embeds. This solves problems raised by J. Bourgain [B] in 1980 and by W. B. Johnson in 1977 [Jo]. We also give intrinsic characterizations of separable Reflexive Banach Spaces which embed into a Reflexive Space with a block q-Hilbertian and/or a block p-Besselian finite dimensional decomposition.
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a universal Reflexive Space for the class of uniformly convex Banach Spaces
arXiv: Functional Analysis, 2005Co-Authors: Edward Odell, Th SchlumprechtAbstract:We show that there exists a separable Reflexive Banach Space into which every separable uniformly convex Banach Space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable Reflexive Banach Spaces which embed into a Reflexive Space with a block $q$-Hilbertian and/or a block $p$-Besselian finite dimensional decomposition.
