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Date: 1983
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042393
Description: We prove some general theorems on the existence of minimal points of compact sets in linear spaces with respect to closed convex orderings. These results are compared to the axiom of choice.
Reviewed: Reviewed
Date: 1983
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940540
Description: We prove (something more general than) the result that a convex subset of a Banach space is closed if and only if every contraction of the space leaving the convex set invariant has a fixed point in t... More
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Reviewed: Reviewed
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Creators: Borwein, J. M.
Date: 1983
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042410
Description: We study convex processes between topological vector spaces with particular emphasis on their adjoints. This study is then applied to produce general duality results for classes of convex programs inv... More
Reviewed: Reviewed
Date: 1983
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042405
Description: In two recent papers Chabnes, Gbibie, and Kortanek studied a special class of infinite linear programs where only a finite number of variables appear in an infinite number of constraints and where onl... More
Reviewed: Reviewed
Date: 1983
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/938759
Description: The observation that female marathon runners do not appear to 'hit the wall' like their male counterparts (when glycogen stores are depleted), has led to the suggestion that women may utilise a greate... More
Reviewed: Reviewed
Date: 1983
Keyword: pi | π | product expansion
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042404
Description: There has recently been considerable interest in an essentially quadratic method for computing π. The algorithm, first suggested by Salamin, is based upon an identity known to Gauss. This iteration ha... More
Reviewed: Reviewed
Creators: Borwein, J. M.
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940555
Description: We show that recent integral versions of the classic Jordan-Von Neumann characterization of Euclidean space may he viewed as special cases of a general averaging principle over sets of isometries.
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Reviewed: Reviewed
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Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940963
Description: Studies of optimization problems have led in recent years to definitions of several types of generalized directional derivatives. Those derivatives of primary interest in this paper were introduced an... More
Reviewed: Reviewed
Date: 1984
Keyword: norms | Riesz norms | vector | lattice
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940973
Description: Recall that a norm ‖.‖ on a vector lattice E is absolute if ‖∣x∣‖=‖x‖ for all x∉E; and monotone if ‖x‖≤‖y‖ whenever 0≤x≤y. If the norm is both absolute and monotone, it is called a Riesz norm. It is e... More
Reviewed: Reviewed
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042411
Description: Convex mappings from a locally convex space X into F. = F ∪ {+∞} are considered, where F is an ordered topological vector space and + ∞ an arbitrary greatest element adjoined to F. In view ... More
Reviewed: Reviewed
Creators: Borwein, J. M.
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940957
Description: We give two general conditions for a convex operator taking values in an ordered vector space to possess subgradient operators. Various consequences are described an extension to abelian groups is giv... More
Reviewed: Reviewed
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940953
Description: In this paper two kinds of normality in vector optimization are compared. Both notions generalize a concept due to Van Slyke and Wets and similar work of Rockafellar.
Reviewed: Reviewed
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/940986
Description: We show that the theory of elliptic integral transformations may be employed to construct iterative approximations for π of order p (p any prime). Details are provided for two, three and seven. The cu... More
Reviewed: Reviewed
Date: 1984
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/938902
Description: Afferent fibres from the arterial baro and chemoreceptors travel in the glossopharyngeal and vagus nerves to terminate mainly in the nucleus of the solitary tract (NST) (see Palkovitz and Zaborsky, 19... More
Reviewed: Reviewed
Creators: Borwein, J. M.
Date: 1984
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1042392
Description: We study the (monotone) linear complementarity problem in reflexive Banach space. The problem is treated as a quadratic program and shown to satisfy appropriate constraint qualifications. This leads t... More
Reviewed: Reviewed

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