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- Publications
- Influence

Seven kinds of monotone maps

- S. Karamardian, S. Schaible
- Mathematics
- 1 June 1990

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 of… Expand

Generalized concavity in optimization and economics

- W. Ziemba, S. Schaible
- Economics
- 1981

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 book… Expand

Fractional Programming

- H. Frenk, S. Schaible
- Computer Science
- Encyclopedia of Optimization
- 17 September 2004

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 fractional… Expand

Vector Equilibrium Problems with Generalized Monotone Bifunctions

- M. Bianchi, N. Hadjisavvas, S. Schaible
- Mathematics
- 1 March 1997

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 locally… Expand

Fractional programming

- S. Schaible
- Computer Science
- Z. Oper. Research
- 1983

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 their… Expand

An algorithm for generalized fractional programs

- J. Crouzeix, J. Ferland, S. Schaible
- Mathematics
- 1 September 1985

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 linear… Expand

Fractional Programming. II, On Dinkelbach's Algorithm

- S. Schaible
- Mathematics
- 1 April 1976

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 shown… Expand

From Scalar to Vector Equilibrium Problems in the Quasimonotone Case

- N. Hadjisavvas, S. Schaible
- Mathematics
- 1 February 1998

In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result for… Expand

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. The… Expand

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 an… Expand