We obtain a generalized continuous
selection theorem and a coincidence theorem for generalized
convex spaces. Some new Himmelberg type theorems and
Eilenberg-Montgomery and Gorniéwicz type fixed point
theorems for mappings with KKM property are established in
noncompact LG-spaces. Moreover, applications to these fixed
point theorems for existence of equilibria are given.
Publié le : 2005-04-14
Classification:
Continuous selection,
Fixed point theorem,
coincidence theorem,
generalized quasi-variational inequalities,
47H10,
54H25,
49J40,
47J20
@article{1117805086,
author = {Fakhar, M. and Zafarani, J.},
title = {Fixed points theorems and quasi-variational inequalities in G-convex spaces},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {11},
number = {5},
year = {2005},
pages = { 235-247},
language = {en},
url = {http://dml.mathdoc.fr/item/1117805086}
}
Fakhar, M.; Zafarani, J. Fixed points theorems and quasi-variational inequalities in G-convex spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp. 235-247. http://gdmltest.u-ga.fr/item/1117805086/