Convergences and compacting relations. Application to Stackelberg's equilibria
type: Item
instance of: scholarly article
title: Convergences and compacting relations. Application to Stackelberg's equilibria
zbMATH Open document ID: 0801.54002
author: Jean Guillerme
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1994-02-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108282
review text: A set is called a semi-convergence space if to each of its points is associated a family of semi-filters. This notion is used to prove ``\(\Gamma\)-inequalities'' in complete lattices, ``variational inclusion theorem'' and to investigate the notion of ``compacting relation at a point'' between two semi-convergence spaces. Some applications are given, in particular, sufficiency conditions for a problem of stability of Stackelberg's equilibria are obtained.
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49J35
zbMATH DE Number: 492570
zbMATH Keywords: variational inclusion
zbMATH Keywords: compacting relation
zbMATH Keywords: semi-convergence space
zbMATH Keywords: stability of Stackelberg's equilibria
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
cites work: Q5186236
cites work: Gamma-convergence and optimal control problems
cites work: Q5788019
cites work: Q4107534
cites work: Compactoid and compact filters
cites work: Γ-Inequalities and Stability of Generalized Extremal Convolutions
cites work: Inequalities involving \(\Gamma\)-functionals and semi complete lattice homomorphisms
cites work: Q3684172
cites work: Decomposition of semifilters and sequential \(\Gamma\)-limits in completely distributive lattices
cites work: On Raney's theorems for completely distributive complete lattices
cites work: Convergence of approximate saddle points
cites work: Q4026943
cites work: Q4207789
cites work: A Subdirect-Union Representation for Completely Distributive Complete Lattices
description: scientific article; zbMATH DE number 492570