A Fixed Point-Equilibrium Theorem with Applications
Balaj, Mircea
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 919-928 / Harvested from Project Euclid
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In this paper, using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain an existence theorem of a point which is simultaneously fixed point for a given mapping and equilibrium point for a very general vector equilibrium problem. Finally some particular cases are discussed and three applications are given.
Publié le : 2010-12-15
Classification:  equilibrium problem,  fixed point theorem,  quasiconvex (quasiconcave) mapping,  $C(x)$-quasiconvex mapping 
@article{1292334066,
     author = {Balaj, Mircea},
     title = {A Fixed Point-Equilibrium Theorem with Applications},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 919-928},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292334066}
}

Balaj, Mircea. A Fixed Point-Equilibrium Theorem with Applications. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  919-928. http://gdmltest.u-ga.fr/item/1292334066/