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Seven kinds of monotone maps
Known as well as new types of monotone and generalized monotone maps are considered. For gradient maps, these generalized monotonicity properties can be related to generalized convexity properties ofExpand
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Generalized concavity in optimization and economics
Spend your few moment to read a book even only few pages. Reading book is not obligation and force for everybody. When you don't want to read, you can get punishment from the publisher. Read a bookExpand
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Fractional Programming
Single-ratio and multi-ratio fractional programs in applications are often generalized convex programs. We begin with a survey of applications of single-ratio fractional programs, min-max fractionalExpand
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Vector Equilibrium Problems with Generalized Monotone Bifunctions
AbstractA vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locallyExpand
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Fractional programming
Following a comprehensive bibliography recently published in this journal, we review major results in fractional programming. The emphasis is on structural properties of fractional programs and theirExpand
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An algorithm for generalized fractional programs
An algorithm is suggested that finds the constrained minimum of the maximum of finitely many ratios. The method involves a sequence of linear (convex) subproblems if the ratios are linearExpand
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Fractional Programming. II, On Dinkelbach's Algorithm
Dinkelbach's algorithm [Dinkelbach, W. 1967. On nonlinear fractional programming. Management Sci.13 492--498.] solving the parametric equivalent of a fractional program is investigated. It is shownExpand
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From Scalar to Vector Equilibrium Problems in the Quasimonotone Case
In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result forExpand
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Parameter-free convex equivalent and dual programs of fractional programming problems
  • S. Schaible
  • Computer Science, Mathematics
  • Z. Oper. Research
  • 1 October 1974
SummaryAn appropriate generalization ofCharnes-Cooper's [1962] variable transformation is introduced, by which a parameter-free convex program is associated to nonlinear fractional programs. TheExpand
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Duality in Fractional Programming: A Unified Approach
  • S. Schaible
  • Computer Science, Mathematics
  • Oper. Res.
  • 1 June 1976
This paper presents a unified method for obtaining duality results for concave-convex fractional programs. We obtain these results by transforming the original nonconvex programming problem into anExpand
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