Fixed points theorems and quasi-variational inequalities in G-convex spaces
Fakhar, M. ; Zafarani, J.
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, p. 235-247 / Harvested from Project Euclid
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/