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    Article

    A generalized Farkas lemma with applications to quasidifferentiable programming

    For sublinear map**s between normed linear spaces a generalization of Farkas' lemma is established thus extending the known results to include a class of non-linear functions. A generalized Motzkin alternati...

    B. M. Glover in Zeitschrift für Operations Research (1982)

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    Article

    A Farkas lemma for difference sublinear systems and quasidifferentiable programming

    A new generalized Farkas theorem of the alternative is presented for systems involving functions which can be expressed as the difference of sublinear functions. Various other forms of theorems of the alternat...

    B. M. Glover, V. Jeyakumar, W. Oettli in Mathematical Programming (1994)

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    Article

    A Fritz John optimality condition using the approximate subdifferential

    A Fritz John type first-order optimality condition is derived for infinite-dimensional programming problems involving the approximate subdifferential. A discussion of the important properties of the approximat...

    B. M. Glover, B. D. Craven in Journal of Optimization Theory and Applications (1994)

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    Article

    Generalized convex relations with applications to optimization and models of economic dynamics

    We examine a notion of generalized convex set-valued map**, extending the notions of a convex relation and a convex process. Under general conditions, we establish duality results for composite set-valued ma...

    A. M. Rubinov, V. Jeyakumar, B. M. Glover in Set-Valued Analysis (1996)

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    Article

    Characterizing global optimality for DC optimization problems under convex inequality constraints

    Characterizations of global optimality are given for general difference convex (DC) optimization problems involving convex inequality constraints. These results are obtained in terms of ε-subdifferentials of t...

    V. Jeyakumar, B. M. Glover in Journal of Global Optimization (1996)

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    Article

    New Version of the Newton Method for Nonsmooth Equations

    In this paper, an inexact Newton scheme is presented which produces a sequence of iterates in which the problem functions are differentiable. It is shown that the use of the inexact Newton scheme does not redu...

    H. Xu, B. M. Glover in Journal of Optimization Theory and Applications (1997)

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    Article

    Dual conditions characterizing optimality for convex multi-objective programs

    B.M. Glover, V. Jeyakumar, A.M. Rubinov in Mathematical Programming (1999)

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    Article

    Increasing Convex-Along-Rays Functions with Applications to Global Optimization

    Increasing convex-along-rays functions are defined within an abstract convexity framework. The basic properties of these functions including support sets and subdifferentials are outlined. Applications are pro...

    A. M. Rubinov, B. M. Glover in Journal of Optimization Theory and Applications (1999)

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    Article

    Extended Lagrange and Penalty Functions in Optimization

    We consider nonlinear Lagrange and penalty functions for optimization problems with a single constraint. The convolution of the objective function and the constraint is accomplished by an increasing positively...

    A. M. Rubinov, X. Q. Yang, B. M. Glover in Journal of Optimization Theory and Applications (2001)

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    Article

    Investigation of a multimarker approach to the initial assessment of patients with acute chest pain

    Early identification of acute coronary syndrome (ACS) is important to guide therapy at a time when it is most likely to be of value. In addition, predicting future risk helps identify those most likely to bene...

    C. J. McCann, B. M. Glover, I. B. A. Menown, M. J. Moore, J. McEneny… in Advances in Therapy (2009)