On some Optimization Problems in Not Necessarily Locally Convex Space
Yugoslav journal of operations research, Tome 18 (2008) no. 2, p. 167
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this note, by using O. Hadžić's generalization of a fixed point theorem of
Himmelberg, we prove a non - cooperative equilibrium existence theorem in non -
compact settings and a generalization of an existence theorem for non - compact infinite
optimization problems, all in not necessarily locally convex spaces.
Classification :
46A16 49J27
Keywords: Set valued mapping, quasi - convex map, non-cooperative equilibrium.
Keywords: Set valued mapping, quasi - convex map, non-cooperative equilibrium.
@article{YJOR_2008_18_2_a2,
author = {Ljiljana Gaji\'c},
title = {On some {Optimization} {Problems} in {Not} {Necessarily} {Locally} {Convex} {Space}},
journal = {Yugoslav journal of operations research},
pages = {167 },
year = {2008},
volume = {18},
number = {2},
zbl = {1199.46008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2008_18_2_a2/}
}
Ljiljana Gajić. On some Optimization Problems in Not Necessarily Locally Convex Space. Yugoslav journal of operations research, Tome 18 (2008) no. 2, p. 167 . http://geodesic.mathdoc.fr/item/YJOR_2008_18_2_a2/