On variational approach to economic equilibrium — type problem

Zdzisław Naniewicz; Magdalena Nockowska

Published: 2006-09-29

Vol. 20 (2006)

On variational approach to economic equilibrium — type problem

Zdzisław Naniewicz , Magdalena Nockowska

Abstract

The paper deals with an optimization problem in which minima of a finite collection of objective functions satisfy some unilateral constraints and are linked together by a certain subdifferential law. The governing relations are variational inequalities defined on a nonconvex feasible set. By reducing the problem to a variational inequality involving nonmonotone multivalued mapping defined over a nonnegative orthant, the existence of solutions is established under the assumption that constrained functions are positive homogeneous of degree at most one.

Keywords:

variational inequality , duality , Walrasian equilibrium

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Naniewicz, Z., & Nockowska, M. (2006). On variational approach to economic equilibrium — type problem. Annales Mathematicae Silesianae, 20, 57–71. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14068

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References

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Zdzisław Naniewicz

naniewicz@uksw.edu.pl

Affiliation:

Instytut Fizyki, Wydział Matematyczno-Przyrodniczy, Uniwersytet Kardynała Stefana Wyszyńskiego w Warszawie Poland

Magdalena Nockowska

Affiliation:

Centrum Nauczania Matematyki i Fizyki oraz Instytut Matematyki, Politechnika Łódzka Poland

Vol. 20 (2006)
Published: 2006-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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