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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159259
Description: Bidders often feel challenged when looking for the best bidding strategies to excel in the competitive environment of multiple and simultaneous online auctions for same or similar items. Bidders face ... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159323
Description: We give a complete characterization of subgroups of separable topological groups. Then we show that the following conditions are equivalent for an omega-narrow topological group G: (i) G is homeomorph... More
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Date: 2017
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159312
Description: We present a sufficient condition under which a weak solution of the Euler-Lagrange equations in nonlinear elasticity is already a global minimizer of the corresponding elastic energy functional. This... More
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Authors: Gao, David
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99896
Description: This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical duality–triality theory developed by th... More
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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/1959.17/100713
Description: This paper aims to solve a class of CEC benchmark constrained optimization problems that have been widely studied by nature-inspired optimization algorithms. Based on canonical duality theory, these c... More
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Authors: Chen, Yi | Gao, David
Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100457
Description: This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of 4th-order polynomial and a log-sum-exp function. Such a problem arises extensivel... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327
Description: This paper is devoted to the development of new sufficient conditions for the calmness and the Aubin property of implicit multifunctions. As the basic tool we employ the directional limiting coderivat... More
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Date: 2016
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154567
Description: We give a formula for the subdifferential of the sum of two convex functions where one of them is the supremum of an arbitrary family of convex functions. This is carried out under a weak assumption e... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100394
Description: A general nonlinear regularity model for a set-valued mapping F : X x R+ paired right arrows Y, where X and Y are metric spaces, is studied using special iteration procedures, going back to Banach, Sc... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/98984
Description: In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming ... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/76402
Description: Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92549
Description: The general constrained polynomial programming problem (GPP) is considered in this paper. Problem (GPP) has a broad range of applications and is proved to be NP-hard. Necessary global optimality condi... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/92572
Description: Several primal and dual quantitative characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of collections... More
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Date: 2015
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/77111
Description: This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a second-order generalized diff... More
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