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Fulltext | 0101 Pure Mathematics
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/155253
Description: In this paper the relation between the weak subdifferentials and the directional derivatives, as well as optimality conditions for nonconvex optimization problems in reflexive Banach spaces, are inves... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154692
Description: It is proved that any surjective morphism f : Z(k) -> K onto a locally compact group K is open for every cardinal k. This answers a question posed by Hofmann and the second author.
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100317
Description: In this article, we refine and slightly strengthen the metric space version of the Borwein-Preiss variational principle due to Li and Shi (2000) [12], clarify the assumptions and conclusions of their ... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99916
Description: In 1985 S. Saeki and K. Stromberg published the following question: Does every infinite compact group have a subgroup which is not Haar measurable? An affirmative answer is given for all compact group... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100313
Description: We introduce a subfamily of additive enlargements of a maximally monotone operator. Our definition is inspired by the early work of Simon Fitzpatrick. These enlargements constitute a subfamily of the ... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/155338
Description: The Holder setting of the metric subregularity property of set-valued mappings between general metric or Banach/Asplund spaces is investigated in the framework of the theory of error bounds for extend... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100365
Description: The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a preci... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92587
Description: We examine three primal space local Holder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantita... More
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Date: 2014
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/155269
Description: For the classical nonlinear program, two new relaxations of the Mangasarian– Fromovitz constraint qualification are discussed and their relationship with some standard constraint qualifications is exa... More
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Date: 2013
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/61886
Description: The present article continues the investigation of constructions essential for applications of combinatorial semigroups to the design of multiple classification systems in data mining. Our main theore... More
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Date: 2013
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/38905
Description: We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fr... More
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Date: 2013
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/44102
Description: We consider the bipartite version of the degree/diameter problem, namely, given natural numbers d≥2 and D≥2, find the maximum number N b(d,D) of vertices in a bipartite graph of maximum degree d a... More
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Date: 2012
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/155230
Description: In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new ... More
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Date: 2012
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/55174
Description: We show in a rather general setting that Hoelder and Lipschitz stability properties of solutions to variational problems can be characterized by convergence of more or less abstract iteration schemes.... More
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Date: 2012
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/63531
Description: Abstract We introduce a new construction involving Rees matrix semigroups and max-plus algebras that is very convenient for generating sets of centroids. We describe completely all optimal sets of cen... More
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